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Please Solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Exercise Very short Answer type Question 1 Maths Textbook solution.

Answers (1)

Answer:

$a>1$

Hint:

If $f(x)$ is increasing, then $f'(x)>0$

Given:

$f(x)=a^{x}$

Explanation:

It is given that,

$f(x)=a^{3}$

$\Rightarrow f'(x)=a^{x}\cdot \log a$

$\because f'(x)>0$ as $f(x)$ is increasing

$\Rightarrow a^{x}\cdot \log a>0$

$\Rightarrow a>1$ $[\because \log 1=0]$

Thus, value of $a$ has to be $a >1$

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