Find all possible functions with the given derivative.
-$$y ^ { \prime } = x ^ { 5 }$$
A) $5 x 4 + C$
B) $6 x ^ { 6 } + C$
C) $\frac { 1 } { 5 } x ^ { 4 } + C$
D) $\frac { 1 } { 6 } x ^ { 6 } + C$

Question

Quizplus · Accepted Answer

We integrate the given derivative to obtain:
$$y = \int x ^ { 5 } d x = \frac { 1 } { 6 } x ^ { 6 } + C$$
Therefore, the answer is D.

Find All Possible Functions with the Given Derivative y′=x5y ^ { \prime } = x ^ { 5 }y′=x5

Find All Possible Functions with the Given Derivative $y ^ { \prime } = x ^ { 5 }$