(b) if y = x^{8.7}, find \\frac{dy}{dx}.\n\\frac{dy}{dx}=\\square
(b) if y = x^{8.7}, find \\frac{dy}{dx}.\n\\frac{dy}{dx}=\\square
Answer
Explanation:
Step1: Apply power - rule of differentiation
The power - rule states that if $y = x^n$, then $\frac{dy}{dx}=nx^{n - 1}$. Here $n = 8.7$. $\frac{dy}{dx}=8.7x^{8.7 - 1}$
Step2: Simplify the exponent
$8.7-1 = 7.7$. So, $\frac{dy}{dx}=8.7x^{7.7}$
Answer:
$8.7x^{7.7}$