Let $f ( x ) = \int _ { x } ^ { 10 } t ^ { 3 } d t \text {. Find the value of } f ^ { \prime } ( 2 ) \text {. }$
A)8
B)4
C) $- 24$
D)12
E) $- 4$
F) $- 8$
G)24
H) $- 12$

Name: Let $f ( x ) = \int _ { x } ^ { 10 } t ^ { 3 } d t \text {. Find the value of } f ^ { \prime } ( 2 ) \text {. }$ A)8 B)4 C) $- 24$ D)12 E) $- 4$ F) $- 8$ G)24 H) $- 12$
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Question

Let $f ( x ) = \int _ { x } ^ { 10 } t ^ { 3 } d t \text {. Find the value of } f ^ { \prime } ( 2 ) \text {. }$ 
A)8
B)4
C) $- 24$ 
D)12
E) $- 4$ 
F) $- 8$ 
G)24
H) $- 12$

Quizplus · Accepted Answer

By the Fundamental Theorem of Calculus, $ f'(x) = -x^3 $. Therefore, $ f'(2) = -(2)^3 = -8 $.

Let f(x)=∫x10t3dt. Find the value of f′(2). f ( x ) = \int _ { x } ^ { 10 } t ^ { 3 } d t \text {. Find the value of } f ^ { \prime } ( 2 ) \text {. }f(x)=∫x10​t3dt. Find the value of f′(2).

Let $f ( x ) = \int _ { x } ^ { 10 } t ^ { 3 } d t \text {. Find the value of } f ^ { \prime } ( 2 ) \text {. }$