If f ( x ) = 2 x 2 + 3 x - 5 , then the value of f ' ( 0 ) + 3 f ' ( - 1 ) is equal to

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Question: Answered & Verified by Expert

If

f (x) = 2 x^{2} + 3 x - 5

, then the value of

f^{'} (0) + 3 f^{'} (- 1)

is equal to

MathematicsDifferentiationAP EAMCETAP EAMCET 2021 (20 Aug Shift 1)

Options:

A $1$
B $0$
C $3$
D $2$

Solution:

2079 Upvotes Verified Answer

The correct answer is:

0

$f (x) = 2 x^{2} + 3 x - 5$

$f' (x) = 4 x + 3$

$f' (0) = 3$

$f' (- 1) = - 1$

$f^{'} (0) + 3 f^{'} (- 1) = 3 + 3 \times - 1 = 0$

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