differentiation

Related Questions

• If $z=\frac{{{({{x}^{4}}+{{y}^{4}})}^{1/3}}}{{{({{x}^{3}}+{{y}^{3}})}^{1/4}}}$, then $x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}=$

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• Consider the following statements S and R.<br> S : Both $\sin x$ and $\cos x$ are decreasing functions in $\left( \frac{\pi }{2},\pi \right)$ <br>R : If a differentiable function decreases in (a, b) then its derivative also decreases in (a, b). <br>Which of the following is true

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• If $y = \frac{1}{{a - z}},$then $\frac{{dz}}{{dy}} = $

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• Derivative of ${{\sec }^{-1}}\left\{ \frac{1}{2{{x}^{2}}-1} \right\}$w.r.t $\sqrt{1+3x}$at $x=-\frac{1}{3}$ is

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• The function $f(x)=x+\sin x$ has

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