Find the third derivative of the function $f ( x ) = x ^ { 5 } - 3 x ^ { 4 }$ .
A) $60 x ^ { 2 } - 72 x$
B) $30 x ^ { 2 } - 36 x$
C) $60 x ^ { 2 } - 72 x ^ { 2 }$
D) $60 x ^ { 2 } - 36 x$
E) $30 x ^ { 2 } - 36 x$.

Question

Find the third derivative of the function $f ( x ) = x ^ { 5 } - 3 x ^ { 4 }$ .
A) $60 x ^ { 2 } - 72 x$
B) $30 x ^ { 2 } - 36 x$
C) $60 x ^ { 2 } - 72 x ^ { 2 }$ 
D) $60 x ^ { 2 } - 36 x$
E) $30 x ^ { 2 } - 36 x$.

Quizplus · Accepted Answer

The third derivative of $f(x) = x^5 - 3x^4$ is found by differentiating three times. The first derivative is $f'(x) = 5x^4 - 12x^3$, the second derivative is $f''(x) = 20x^3 - 36x^2$, and the third derivative is $f'''(x) = 60x^2 - 72x$.

Find the Third Derivative of the Function f(x)=x5−3x4f ( x ) = x ^ { 5 } - 3 x ^ { 4 }f(x)=x5−3x4

Find the Third Derivative of the Function $f ( x ) = x ^ { 5 } - 3 x ^ { 4 }$