find the indicated derivative.\n$\frac{dy}{dx}$ for $y = x^{3}$\n$\frac{dy}{dx}=square$
find the indicated derivative.\n$\frac{dy}{dx}$ for $y = x^{3}$\n$\frac{dy}{dx}=square$
Answer
Explanation:
Step1: Apply power - rule
The power - rule for differentiation is $\frac{d}{dx}(x^n)=nx^{n - 1}$. Here $n = 3$. $\frac{d}{dx}(x^{3})=3x^{3-1}$
Step2: Simplify the exponent
$3x^{3 - 1}=3x^{2}$
Answer:
$3x^{2}$