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Application of Derivatives question

2017 · Shift 2 · Q26

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PYQ Library
JEE Advanced
Mathematics
Application of Derivatives
2017 · Shift 2 · Q26

Application of Derivatives question

2017 · Shift 2 · Q26

JEE AdvancedMathematicsApplication of DerivativesMultiple correct+4 / −2

f : R

\to

R is a differentiable function such that f'(x) > 2f(x) for all x

\in

R, and f(0) = 1 then

A
f(x) > e2x in (0, $\infty$ )
B
f'(x) < e2x in (0, $\infty$ )
C
f(x) is increasing in (0, $\infty$ )
D
f(x) is decreasing in (0, $\infty$ )

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