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

Question

Quizplus · Accepted Answer

To find the original function given its derivative $y' = x^5$, integrate $x^5$ with respect to $x$ to get $\frac{1}{6}x^6 + C$, where $C$ is the constant of integration.

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

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