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Increasing and Decreasing Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIncreasing and Decreasing Functions3 Marks
Question
Show that f(x) = e2x is increasing on R.
✓

Answer

f(x) = e2x
f'(x) = 2e2x
Now,
$\text{x}\in\text{R}$
Since the value of e2x is always positive for any real value of x, e2x > 0.
⇒ 2e2x > 0
⇒ f'(x) > 0
So, f(x) is increasing on R.

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