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Differentiation question

2022 · 26 Jun · Shift 2 · Q39

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PYQ Library
JEE Main
Mathematics
Differentiation
2022 · 26 Jun · Shift 2 · Q39

Differentiation question

2022 · 26 Jun · Shift 2 · Q39

JEE MainMathematicsDifferentiationNumerical+4 / −1

Let f : R

\to

R satisfy

f(x + y) = {2^x}f(y) + {4^y}f(x)

,

\forall

x, y

\in

R. If f(2) = 3, then

14.\,{{f'(4)} \over {f'(2)}}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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