Find the derivative.
-$$y = 5 x ^ { 4 } + 7 x ^ { 3 } - 4$$
A) $20 x ^ { 3 } + 21 x ^ { 2 } - 7$
B) $20 x ^ { 3 } + 21 x ^ { 2 }$
C) $4 x ^ { 3 } + 3 x ^ { 2 } - 7$
D) $4 x ^ { 3 } + 3 x ^ { 2 }$

Question

Quizplus · Accepted Answer

The derivative of $y = 5x^4 + 7x^3 - 4$ with respect to $x$ is found using the power rule, $d/dx[x^n] = nx^{n-1}$, resulting in $20x^3 + 21x^2$ for the terms $5x^4$ and $7x^3$, respectively. The derivative of a constant (-4) is 0, so it does not appear in the derivative.

Find the Derivative y=5x4+7x3−4y = 5 x ^ { 4 } + 7 x ^ { 3 } - 4y=5x4+7x3−4

Find the Derivative $y = 5 x ^ { 4 } + 7 x ^ { 3 } - 4$