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please solve rd sharma class 12 chapter 16 Increasing and Decreasing Functions exercise Multiple choice question , question 1 maths textbook solution

Answers (1)

Correct option (b)

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

Given:f(x)=x-e^{x}+\tan \left(\frac{2 \pi}{7}\right)

Explanation: It is given that

f(x)=x-e^{x}+\tan \left(\frac{2 \pi}{7}\right)

Differentiate w.r.t  x


Sincef(x)  is increasing function{f}'(x)>0

\begin{aligned} &\Rightarrow 1-e^{x}>0 \\ &\Rightarrow 1>e^{x} \\ &\Rightarrow x<0 \\ &\Rightarrow x \in(-\infty, 0) \end{aligned}

Thus, the required interval is (-\infty, 0)

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