differentiation

Related Questions

• If f be a polynomial, then the second derivative of $f({{e}^{x}})$ is

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• If ${x^2} + {y^2} = t - \frac{1}{t},$${x^4} + {y^4} = {t^2} + \frac{1}{{{t^2}}}$, then ${x^3}y\frac{{dy}}{{dx}} = $

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• Let g (x) be the inverse of an invertible function $f(x)$ which is differentiable at x = c, then $g'(f(c))$ equals

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• The differential coefficient of ${{\tan }^{-1}}\left( \frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}} \right)$ is

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• The position of a point in time ‘t’ is given by $x=a+bt-c{{t}^{2}}$ , $y=at+b{{t}^{2}}$ . Its acceleration at time ‘t’ is

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