If a and b are fixed non-zero constants,then | vedclass

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(B) Given the function is $f(x) = \frac{a}{x^{4}} - \frac{b}{x^{2}} + \cos x$. To find the derivative with respect to $x$,we use the power rule $\frac

Vedclass · Accepted Answer

$m=\frac{-4}{x^{5}}, n=\frac{2}{x^{3}}$ and $p=\sin x$

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(B) Given the function is $f(x) = \frac{a}{x^{4}} - \frac{b}{x^{2}} + \cos x$. To find the derivative with respect to $x$,we use the power rule $\frac{d}{dx}(x^{n}) = nx^{n-1}$ and the derivative of $\cos x$ is $-\sin x$. $\frac{d}{dx} f(x) = \frac{d}{dx}(ax^{-4} - bx^{-2} + \cos x)$ $= a(-4x^{-5}) - b(-2x^{-3}) - \sin x$ $= -\frac{4a}{x^{5}} + \frac{2b}{x^{3}} - \sin x$ Comparing this with the expression $ma + nb - p$,we get: $m = -\frac{4}{x^{5}}$,$n = \frac{2}{x^{3}}$,and $p = \sin x$.

If $a$ and $b$ are fixed non-zero constants,then the derivative of $\frac{a}{x^{4}}-\frac{b}{x^{2}}+\cos x$ is $ma+nb-p$,where

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