find the derivative. y = -3x^3 a. y = -6x^2 b. y = -9x^4 c. y = 9x^2 d. y = -9x^2
find the derivative. y = -3x^3 a. y = -6x^2 b. y = -9x^4 c. y = 9x^2 d. y = -9x^2
Answer
Explanation:
Step1: Apply power - rule
The power - rule for differentiation is $\frac{d}{dx}(ax^n)=nax^{n - 1}$, where $a=-3$ and $n = 3$.
Step2: Calculate the derivative
$y'=3\times(-3)x^{3 - 1}=-9x^{2}$
Answer:
D. $y'=-9x^{2}$