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Application of Derivatives
NCERT Class 12
CBSE
Grade 12

Question:

The function $f(x) = e^{2x}$ is:
(a) Strictly increasing on $\mathbb{R}$
(b) Strictly decreasing on $\mathbb{R}$
(c) Decreasing on $(0, \infty)$
(d) Constant

Step-by-Step Solution

$f'(x) = 2 e^{2x} > 0 \Rightarrow$ Strictly increasing on $\mathbb{R}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting Strictly increasing on $\mathbb{R}$: 1.0 Mark

Correct Answer: Strictly increasing on $\mathbb{R}$
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