If $f ( x ) = 3 x ^ { 5 } - 7 x ^ { 3 } + 2 x ^ { 2 } + 5$ , then $f ^ { \prime \prime \prime } ( x ) = 180 x ^ { 2 } - 42$ .

Name: If $f ( x ) = 3 x ^ { 5 } - 7 x ^ { 3 } + 2 x ^ { 2 } + 5$ , then $f ^ { \prime \prime \prime } ( x ) = 180 x ^ { 2 } - 42$ .
Brand: Quizplus
Rating: 4.8 (34 reviews)

Question

Quizplus · Accepted Answer

To find $f'''(x)$, we differentiate $f(x) = 3x^5 - 7x^3 + 2x^2 + 5$ three times. First differentiation $f'(x) = 15x^4 - 21x^2 + 4x$, second differentiation $f''(x) = 60x^3 - 42x + 4$, and third differentiation $f'''(x) = 180x^2 - 42$.

If f(x)=3x5−7x3+2x2+5f ( x ) = 3 x ^ { 5 } - 7 x ^ { 3 } + 2 x ^ { 2 } + 5f(x)=3x5−7x3+2x2+5

If $f ( x ) = 3 x ^ { 5 } - 7 x ^ { 3 } + 2 x ^ { 2 } + 5$