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Application of Derivatives — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSApplication of Derivatives1 Mark
Question
The function $f(x)=1-x^3-x^5$ is decreasing for
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Answer

(d) : Given, $f(x)=1-x^3-x^5$
Differentiating w.r.t. $x$, we get
$
f^{\prime}(x)=-3 x^2-5 x^4
$
$\Rightarrow f^{\prime}(x)=-\left(3 x^2+5 x^4\right) \Rightarrow f^{\prime}(x)<0$ for all values of $x$.

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