find the indicated derivative.\n$\frac{dy}{dx}$ if $y = 4x^{3}$\n$\frac{dy}{dx}=square$
find the indicated derivative.\n$\frac{dy}{dx}$ if $y = 4x^{3}$\n$\frac{dy}{dx}=square$
Answer
Explanation:
Step1: Apply power - rule for derivatives
The power - rule states that if $y = ax^n$, then $\frac{dy}{dx}=anx^{n - 1}$. Here, $a = 4$ and $n = 3$.
Step2: Calculate the derivative
$\frac{dy}{dx}=4\times3x^{3 - 1}=12x^{2}$
Answer:
$12x^{2}$