Find the derivative.
-$$y = 4 x ^ { 4 } + 4 x ^ { 3 } - 6$$
A) $4 x ^ { 3 } + 3 x ^ { 2 } - 7$
B) $4 x ^ { 3 } + 3 x ^ { 2 }$
C) $16 x ^ { 3 } + 12 x ^ { 2 }$
D) $16 x ^ { 3 } + 12 x ^ { 2 } - 7$

Question

Quizplus · Accepted Answer

The derivative of $y = 4x^4 + 4x^3 - 6$ with respect to $x$ is found by applying the power rule, $d/dx[x^n] = nx^{n-1}$, to each term. The derivative of $4x^4$ is $16x^3$, the derivative of $4x^3$ is $12x^2$, and the derivative of a constant, $-6$, is $0$. Therefore, the derivative is $16x^3 + 12x^2$.

Find the Derivative y=4x4+4x3−6y = 4 x ^ { 4 } + 4 x ^ { 3 } - 6y=4x4+4x3−6

Find the Derivative $y = 4 x ^ { 4 } + 4 x ^ { 3 } - 6$