Find the derivative.
-$$y = 2 x ^ { 2 } + 11 x + 2 x ^ { - 3 }$$
A) $4 x - 6 x ^ { - 4 }$
B) $4 x + 11 + 6 x ^ { - 4 }$
C) $4 x + 11 - 6 x ^ { - 4 }$
D) $2 x + 2 x ^ { - 4 }$

Question

Quizplus · Accepted Answer

We use the power rule of differentiation to find the derivative of each term separately and add them up.
$$\frac{d}{dx}(2x^2) = 4x$$
$$\frac{d}{dx}(11x) = 11$$
$$\frac{d}{dx}(2x^{-3}) = -6x^{-4}$$
Adding these up, we get:
$$y' = 4x + 11 - 6x^{-4}$$
This matches choice C.

Find the Derivative y=2x2+11x+2x−3y = 2 x ^ { 2 } + 11 x + 2 x ^ { - 3 }y=2x2+11x+2x−3

Find the Derivative $y = 2 x ^ { 2 } + 11 x + 2 x ^ { - 3 }$