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Step by step text solution for If x=acos^3theta and y=asin^3theta. Prove that 1+(dy/dx)^2=sec^2theta. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.
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BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- If y^x=e^(y-x), prove that dy/dx=(1+logy)^2/logy.
06:29
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- Find the value of a such that the function f(x) defined by f(x)={(ax+3...
05:41
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- If x=acos^3theta and y=asin^3theta. Prove that 1+(dy/dx)^2=sec^2theta.
04:21
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- Choose the correct answer from the bracket. If x=at^2,y=2at, then the ...
02:25
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- Is the function defined by f(x)={(x+3,ifxle1),(x-3,ifx>1):} a continuo...
02:05
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- Find dy/dx, if y=tan^-1((cosx-sinx)/(cosx+sinx))
03:35
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- If x^(2)+2xy+2y^(2)=1, then (dy)/(dx) at the point where y=1 is equal ...
04:26
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- Find the relationship between a and b so that the function f defined b...
03:49
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- If x^yy^x=16, then find dy/dx at (2,2).
06:16
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- Verify Lagranges' Mean value theorem for the function f(x)=2x^2-10x+29...
06:58
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- If f(x)=log[e^(x)((3-x)/(3+x))^(1//3)] then f'(1) is equal to a)(3)/(4...
04:58
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- Verify Rolle's theorem for the function f(x)=sin3x on [0,pi/3].
05:34
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- Let y=(x+sqrt(1+x^2))^m Find dy/dx.
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- Let y=(x+sqrt(1+x^2))^m Show that (1+x^2)(d^2y)/dx^2+xdy/dx-m^2y=0.
07:27
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- Find dy/dx if sinx+cosy=xy
02:19
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- Find dy/dx if y=(sinx)^(logx).
04:15
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- Differentiate the following. sin[sqrt(sinsqrtx)].
04:06
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- Differentiate the following :y=tan^-1[(sqrt(1+x^2)+1)/x]
05:58
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- Let siny=xsin(a+y) Express x as a function of y.
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- If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)
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