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BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Find dy/dx if y=(sinx)^(logx).
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- Differentiate the following. sin[sqrt(sinsqrtx)].
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- Differentiate the following :y=tan^-1[(sqrt(1+x^2)+1)/x]
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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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- Is f(x)=absx differentiable at x=0?
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- Differentiate the following function w.r.t.x. (logx)^x+x^(logx)
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- If y^x=e^(y-x), prove that dy/dx=(1+logy)^2/logy.
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- If y=(sinx-cosx)^((sinx-cosx)),pi/4<x<(3pi)/4, find dy/dx.
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- Consider the function f(x)={(x^2sin(1/x),x!=0),(0,x=0):} Find Rf'(0) a...
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- Consider the function f(x)={(x^2sin(1/x),x!=0),(0,x=0):} Find Rf'(0) a...
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- Let y=3cos(logx)+4sin(logx) find dy/dx
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- Given that y=3cos(logx)+4sin(logx). What is x.dy/dx?
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- Given that logy=tan^-1x. Find y1.
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- Given that logy=tan^-1x. Show that (1+x^2)y1=y.
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- Given that logy=tan^-1x. Show that (1+x^2)y2+(2x-1)y1=0
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- y=e^(ax)sin bx: Find y1.
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- y=e^(ax)sin bx: Prove that y2-2ay1+(a^2+b^2)y=0.
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- If y=sin(logx) prove that x^2(d^2y)/dx^2+xdy/dx+y=0.
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- If x^y=e^(x-y). Express y in terms of x.
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