Find the derivative.
-$$y = 7 x ^ { - 2 } - 5 x ^ { 3 } + 2 x$$
A) $- 14 x ^ { - 1 } - 15 x ^ { 2 }$
B) $- 14 x ^ { - 3 } - 15 x ^ { 2 }$
C) $- 14 x ^ { - 3 } - 15 x ^ { 2 } + 2$
D) $- 14 x ^ { - 1 } - 15 x ^ { 2 } + 2$

Question

Quizplus · Accepted Answer

To find the derivative of $y = 7x^{-2} - 5x^3 + 2x$, apply the power rule for differentiation, $d/dx[x^n] = nx^{n-1}$, to each term: $d/dx[7x^{-2}] = -14x^{-3}$, $d/dx[-5x^3] = -15x^2$, and $d/dx[2x] = 2$. Therefore, the derivative is $-14x^{-3} - 15x^2 + 2$.

Find the Derivative y=7x−2−5x3+2xy = 7 x ^ { - 2 } - 5 x ^ { 3 } + 2 xy=7x−2−5x3+2x

Find the Derivative $y = 7 x ^ { - 2 } - 5 x ^ { 3 } + 2 x$