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BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Consider the parametric functions x=acos^3theta and y=bsin^3theta. Sho...
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- Differentiate the following. e^(ax).cos(bx+c).
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- Differentiate the following. sin[sqrt(sinsqrtx)].
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- If y=x^(x^x). Prove that logy=x^x(logx)
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- If y=x^(x^x) Find dy/dx.
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- Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) . Hence prove that y=pi/4+x/2...
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- Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) Find dy/dx.
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- sin(xy)+x/y=x^2-y. Evaluate dy/dx
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- Given x^y=y^x. Take logarithm of both sides.
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- Given x^y=y^x Find dy//dx .
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- x=e^theta(theta+1/theta),y=e^-theta(theta-1/theta). Find dx/(d theta) ...
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- If x=acos^3theta,y=asin^3theta Find (d^2y)/dx^2.
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- If x^3+y^3=3axy. Differentiate through out with respect to x.
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- If x^3+y^3=3axy Show that dy/dx=(ay-x^2)/(y^2-ax).
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- Consider y=tan^-1((sqrt(1+x^2)+1)/x). Put x= tan theta and show that ...
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- Consider y=tan^-1((sqrt(1+x^2)-1)/x). Find dy/dx.
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- y=tan x+sec x. Find dy/dx.
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- y=tan x+sec x. Prove that (d^2y)/(dx^2)=cosx/((1+sinx)^2.
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- If y=sin^-1((sqrt(1+x)+sqrt(1-x))/2) Find dy/dx.
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- If y=sin^-1((sqrt(1+x)+sqrt(1-x))/2) Find dy/dx.
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