Find a Function F(x) with the Following Property: F'(x) = $x ^ { 6 }$

Find a function f(x) with the following property: f'(x) = $x ^ { 6 }$ + $\frac { x ^ { 4 } } { 3 }$ - $x ^ { 3 }$ + $\frac { 5 } { 3 }$ $x ^ { 2 }$ , f(0) = e.

A) f(x) = 6 $x ^ { 7 }$ + $\frac { 4 } { 3 }$ $x ^ { 5 }$ - $3 x ^ { 4 }$ + $\frac { 10 } { 3 }$ $x ^ { 3 }$
B) f(x) = $\frac { x ^ { 7 } } { 6 }$ + $\frac { x ^ { 5 } } { 12 }$ - $\frac { x ^ { 4 } } { 3 }$ + $\frac { 5 } { 6 }$ $x ^ { 3 }$ + ex
C) f(x) = $\frac { x ^ { 7 } } { 7 }$ + $\frac { x ^ { 5 } } { 15 }$ - $\frac { x ^ { 4 } } { 4 }$ + $\frac { 5 } { 9 }$ $x ^ { 3 }$ + e
D) $f(x) =7^{e^{7}}+\frac{5}{3 \mathrm{e}^{5}}-4^{e^{4}}+5^{e^{3}}$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free