Question

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Answer 1

Given:-

A Function-

$\bf{sec(tan(x^{4}+4))}$

To Find:-

Differentiation of given function w.r.t. to x

Solution:

We know that,

$\leadsto\bf{\dfrac{d}{dx}(sec\:x)=sec\:x\:tan\:x}$

$\leadsto\bf{\dfrac{d}{dx}(tan\:x)=sec^{2}x}$

$\leadsto\bf{\dfrac{d}{dx}(x^{n})=nx^{n-1}}$

$\leadsto\bf{\dfrac{d}{dx}(constant)=0}$

Now,

On differentiating given function w.r.t. x, we get

$\sf{\dfrac{d}{dx}(sec(tan(x^{4}+4)))}$

$\sf{sec(tan(x^{4}+4))tan(tan(x^{4}+4))\dfrac{d}{dx}(tan(x^{4}+4))}$

$\sf{sec(tan(x^{4}+4))tan(tan(x^{4}+4))sec^{2}(x^{4}+4)\dfrac{d}{dx}(x^{4}+4)}$

$\sf{sec(tan(x^{4}+4))tan(tan(x^{4}+4))sec^{2}(x^{4}+4)(4x^{3}+0)}$

$\sf\pink{sec(tan(x^{4}+4))tan(tan(x^{4}+4))sec^{2}(x^{4}+4).4x^{3}}$

Answer 2

Answer:

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