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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

If

f\left( {x + y + z} \right) = f\left( x \right).f\left( y \right).f\left( z \right)

for all

x,y,z

and

f\left( 2 \right) = 4,f'\left( 0 \right) = 3

, then

f'\left( 2 \right)

equals

View answer and explanation

Correct option: A

12

Option A (12) is correct because f'(2) = 4f'(0) = 4 * 3 = 12.

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