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  • Explain solution rd sharma class 12 chapter16 Increasing and decreasing function exercise multiple choice question, question 30

Explain solution rd sharma class 12 chapter 16 Increasing and decreasing function exercise multiple choice question, question 30

Answers (1)

Correct option (a)

Hint: Iff(x)  is increasing function{f}'(x)>0

Given:f(x)=x^{9}+3 x^{7}+64

Explanation:It is given that

f(x)=x^{9}+3 x^{7}+64     …..(i)

Differentiate (i) w.r.t  x

\begin{aligned} &f^{\prime}(x)=9 x^{8}+21 x^{6} \\ &f^{\prime}(x)=3 x^{6}\left(3 x^{2}+7\right) \end{aligned} 

\because f(x) is increasing

\Rightarrow 3 x^{6}\left(3 x^{2}+7\right)>0 

Thus, the given function is increasing on R

 

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