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Differential Calculus

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Question : 25 of 69

Marks: +1, -0

If

f(x)=3 x^{3}-5 x^{2}+2 x-8

f''(1)

is

18
8
10
none

Solution:

Concept:

Second derivative at a point is found by differentiating twice and substituting the value.

Explanation:

Given

f(x)=3x^3-5x^2+2x-8

.

First derivative:

f'(x)=9x^2-10x+2

.

Second derivative:

f''(x)=18x-10

.

Evaluate at

x=1

:

f''(1)=18(1)-10=8

.

Answer:

f''(1)=8

, which corresponds to option B.

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