Question

(b) if y = x^{8.7}, find \frac{dy}{dx}.
\frac{dy}{dx}=\square

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:

$8.7x^{7.7}$