Find ` (dy)/ (dx)` if `x^ (2/3)y^ (2/3)=a^ (2/3)` Find ` (dy)/ (dx)` if `x^ (2/3)y^ (2/3)=a^ (2/3)` Watch later Share Copy link Info Shopping Tap to unmute If playback doesn'tYx = xyTaking log on both sides⇒ logyx = logxy⇒ xlogy = ylogx⇒ xy1 dxdy logy×1= xy logxdxdy ⇒ (yx −logx) dxdy = xy −logy⇒ dxdy = yx −logxxy −logy = x(x−ylogx)y(y−xlogy) = x(ylogx−x)yTake log on both sides == y log x = log u == y*1/x logx * dy/dx (by products rule) = 1/u du / dx ==du/dx = x y (y/x logx dy/dx) let y x = v ;
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2 quad find (dy)/(dx) if (cos x)^(y)=(cos y)^(x)-Find dy/dx if x^2y^2=2xy A x/(xy) B (yx)/(yx) C 1 D x/y E None of these 93,328 results, page 2 calculus 1 If 3x^22xyy2=2 then the value of dy/dx x = 1 is A 2 B 0 C 2 D 4 E not defined calc xy^2 2xy = 8, then, at the point (1,2) y' is?Find dy/dx when x and y are connected by the relation if x = ex/y, prove that dy/dx = xy/x log x asked in Class XII Maths by rahul152 (2,8 points) continuity and differentiability 0 votes 1 answer Find dy/dx when x and y are connected by the relation if ax2 2hxy by2 2gx 2fy c = 0, then show that dy/dxdx/dy = 1 asked in Class XII Maths by nikita74
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To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW If `x^y=y^x`,then find` dy/dx`Share It On Facebook Twitter Email 1 Answer 1 vote answered by Jyoti (303k points) x y y x = a b, here ab is const let x y = u ;
if y=a x^2b xc find (dy)/(dx) when x=2 Updated On 304 To keep watching this video solution for FREE, Download our App Join the 2 Crores Student community now!How to find dy/dx by implicit differentiation given that xy = x yHere's the 4 simple steps we will take in order to find dy/dx from the given equation xyCalculus Find the four second partial derivatives and evaluate each at the given point Function f(x, y) = x^3 2xy^3 − 9y Point (9
Find (dy)/(dx) , if x=asectheta , y=btantheta Updated On 266 To keep watching this video solution for FREE, Download our App Join the 2 Crores Student community now!Solution For Find (dy)/(dx)if xy =pi LIVE Classes starting 15 th June 21 30 Students 90 Days 24x7 Video Doubt Support ₹ ₹8000 KNOW MOREIf x=at2 and y=at, then find dy/dx?
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The functions apart andIf sin 2 x 2 cos y xy = 0, then dy/dx = If Slope Of Tangent To Curve Y X 3 At A Point Is Equal To Ordinate Of A Point Then Point Is Leave a Comment Cancel replyFind dy/dx by implicit differentiation xe^y = x y Boost your resume with certification as an expert in up to 15 unique STEM subjects this summer
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#mathematic #preumath #iium #calculus안녕하세요, this is my video for teaching calculus i will make more problem solving videos soon Stay tuned😘🧸I wanna help If x^y y^x = a^b, find dy/dx ← Prev Question Next Question → 2 votes 408k views asked in Mathematics by Nisa (597k points) If x y y x = a b, find dy/dx cbse;If `x y=e^(xy)` , find `(dy)/(dx)` Books Physics NCERT DC Pandey Sunil Batra HC Verma Pradeep Errorless Chemistry NCERT P Bahadur IITJEE Previous Year Narendra Awasthi MS Chauhan Biology NCERT NCERT Exemplar NCERT Fingertips Errorless Vol1 Errorless Vol2 Maths NCERT RD Sharma Cengage KC Sinha Download PDF's Class 12 Class 11 Class 10 Class
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Cos (xy) = x y Differentiating both sides wrt x, we get `sin(xy)"d"/"dx"(xy) = 1 "dy"/"dx"` ∴ `sin(xy)x"dy"/"dx" y"d"/"dx"(x) = 1 "dy"/"dx"` ∴ `sin(xy)x"dy"/"dx" y xx 1 = 1 "dy"/"dx"` ∴ `xsin(xy)"dy"/"dx" ysin(xy) = 1 "dy"/"dx"` ∴ `"dy"/"dx" sin(xy)"dy"/"dx (dy/dx) = sec 2 (xy) sec 2 (xy)/(sec 2 (xy) – sec 2 (xy)) = sec 2 (xy) sec 2 (xy)/(sec 2 (xy) – sec 2 (xy)) Hence option (2) is the answer Was this answer helpful?World of mathematics Something went wrong Wait a moment and try again
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Share It On Facebook Twitter Email 1 Answer 1 vote answered by paayal (147k points) selected by Vikash Kumar Best answer Put x y = u and y x = v ∴ (i) Find the rate of change of f(x,y,z) = xyz in the direction normal to the surface yx^2 xy^2 yz^2 = 75 at (1,5,3) I keep getting this wrong and I don't know what I did right The answer's 147/sqrt(101) but I got 357/sqrt(1361) Calculus Find dy/dx by implicit differentiation x^22xyy^3 =1 Log in Join now 1 Log in Join now Ask your question Ask your question geetanjalisi19 geetanjalisi19 2 minutes ago Math Secondary School 5 pts Answered Find dy/dx if x^y=c 1 See answer geetanjalisi19 is waiting for your help Add your answer and earn points
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Example 33 Find 𝑑𝑦/𝑑𝑥 , if 𝑦^𝑥𝑥^𝑦𝑥^𝑥=𝑎^𝑏 Let u = 𝑦𝑥, v = 𝑥𝑦 & w = 𝑥^𝑥Now, 𝒖 𝒗 𝒘 = 𝒂^𝒃 Differentiating 𝑤𝑟𝑡𝑥 (𝑑 (𝑢 𝑣 𝑤))/𝑑𝑥 = (𝑑(𝑎^𝑏))/𝑑𝑥 (𝑑(𝑢))/𝑑𝑥 (𝑑(𝑣))/𝑑𝑥 (𝑑(𝑤))/𝑑𝑥 = 0We will calculate derivative of u, v & w separately (As 𝑎^𝑏 is c Davneet Singh is a graduate from Indian Institute of Technology, Kanpur He has been teaching from the past 10 years He provides courses for Maths and Science at TeachooWatch Video in App This browser does not support the video element 258 k 70 k Answer Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams Image Solution Find
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Example 25 Find 𝑑𝑦/𝑑𝑥 , if y sin y = cos𝑥 y sin y = cos x Differentiating both sides by x 𝑑𝑦/𝑑𝑥 (𝑑(sin〖𝑦)〗)/𝑑𝑥 = (𝒅(𝐜𝐨𝐬〖𝒙)〗)/𝒅𝒙 𝑑𝑦/𝑑𝑥 (𝑑(〖sin 〗〖𝑦)〗)/𝑑𝑥 = − sin x 𝑑𝑦/𝑑𝑥 (𝒅(𝐬𝐢𝐧〖𝒚)〗)/𝒅𝒚 𝑑𝑦/𝑑𝑥 = − sin x 𝑑𝑦/𝑑𝑥If x^y = y^x , then find dydx > If x^y = y^x , then find d 1answer dy/dx at x=0 where y=log _cos x (sin x) log_sin x (cos x)sin^1 2x/(1x^2) askedby Trushali Pal(17points) continuity and differntiability 0votes 1answer If y = (f(x) g(x) h(x)), (l m n), (a b c), then prove that dy/dx = (f'(x) g'(x) h'(x)), (l m n), (a b c)
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Equalling the red y curve and the blue x curve happens also only in (1,1) and shows that dy/dx = dx/dy = 1 Now for z=z (x,y) Equalling the blue and green functions happens in the red curve x=t, y=t, z=t^t !Use product rule We know that f(x)= xy Then f'(x)=(x)d/dx(y)(y)d/dx(x) So that dy/dx=(x)d/dx(sinx)(sinx)d/dx(x) dy/dx=xcosxsinx1Answered 1 year ago Author has 223 answers and 435K answer views Given y = 2^cosx^2 Taking log both side Logy =cos square x×log2 Differentiate both side with respect to x dy/ydx = log2 (2cosx × sinx) 0 (because log2 is constant) dy/dX = (sin2x × log2)/y Put the value of y
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Find an answer to your question if x^y y^x = c find dy by dxplease give answer with simple stepsY = fog(x) y = f(g(x)) dy/dx = d/dx of f(g(x)) dy/dx = d/dx of f at the point g(x)* d/dx of g at the point x dy/dx = f'(g(x))*g'(x) Example 24 Find 𝑑𝑦/𝑑𝑥 if 𝑥 − 𝑦 = 𝜋 (x − y) = 𝜋 Differentiating both sides wrt x (𝑑(𝑥 − 𝑦))/𝑑𝑥= 𝑑𝜋/𝑑𝑥 𝑑𝑥/𝑑𝑥− 𝑑𝑦/𝑑𝑥 = 0 1 − 𝑑𝑦/𝑑𝑥 = 0 𝒅𝒚/𝒅𝒙 = 1 (As 𝜋 is constant) Show More Examples Example 1 Example 2 Example 3 Example 4 Important Example 5 Example 6 Example 7 Example 8 Example
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Find dy/dx at x = 1, y = pi/4 if sin^2 y cos xy = K ← Prev Question Next Question → 0 votes 185k views asked in Mathematics by Samantha (3k points) Find dy/dx at x = 1, y = pi/4 if sin 2 y cos xy = K continuity and differntiability;Watch Video in App This browser does not support the video element 2 k 14 k Answer Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams Image Solution FindCalculus Find dy/dx y=1/x y = 1 x y = 1 x Differentiate both sides of the equation d dx (y) = d dx ( 1 x) d d x ( y) = d d x ( 1 x) The derivative of y y with respect to x x is y' y ′ y' y ′ Differentiate the right side of the equation Tap for more steps
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Take log on both sides == x log y = logv == x*1/ydy/dx logy*1 (by products rule) = 1/v dv/dx == dv/dx = y x (x/y dy/dx logy) == u v = a b differentiating wrt x we get , du/dx dv/dx = 0 ==Now the given equation is (x2 y2)2 = xyOr, (x2)2 2xy (y2)2 = xy→ x4 xy y4 = 0Differentiating the above expression wrt x, we get4x3 xdxdy y 4y3 dxdy = 0dxdy (x4y3)= −(y4x3)∴ dxdy If x = a(t sint) and y = a(1 cost), then dy/dx is equal to (A) tan(t/2) (B) tan(t/2)
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Find dy/dx if x^2y^2=2xy A x/(xy) B (yx)/(yx) C 1 D x/y E None of these Do I equal it to 0 and use implicit rule?Calculus Find dy/dX y=X^8 y = X8 y = X 8 Differentiate both sides of the equation d dX (y) = d dX (X8) d d X ( y) = d d X ( X 8) The derivative of y y with respect to X X is y' y ′ y' y ′ Differentiate using the Power Rule which states that d dX d d X X n is n−1 n X n Find dy/dx if x^y=c Get the answers you need, now!
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#y=tan^1(x/y) rArr tany=x/y, or, x=ytany# # d/dy{x}=d/dy{ytany}# # dx/dy=yd/dy(tany)tany*d/dy(y),"Product Rule"# #=ysec^2ytany=y(1tan^2y)tany#Answer x^(y1) y y^x logy/1 x^y logx x y^(x1) Solution y = x^y y^x Let u = x^y and v = y^x Then, y = u v and dy/dx = du/dx dv/dxFind ${dy}/{dx}$ if $x^y y^x = 1$ I have no idea how to approach this problem Can somebody please explain this to me?
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Doing the same, we get that #y^x(lny x/y(dy/dx))# Thus the derivative of the entire function is given by #x^ylnx(dy/dx) x^y(y/x) y^xln y y^x x/y(dy/dx) = 0#Visit to my Channel https//youtubecom/c/GRAVITYcoachingInstituteVisit to my Channel Playlist https//wwwyoutubecom/c/GRAVITYCOACHINGINSTITUTE/playlists4 (3) Upvote (1) Choose An Option That Best Describes Your Problem Answer not in Detail Incomplete Answer Answer Incorrect Others Answer not in Detail Incomplete Answer Answer Incorrect
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