Question

Compute for the derivative of the function below for x = 1. y=34x4−3x5−2x63

Answer 1

Solution:

Formula used:

$\frac{d {x}^{n} }{dx} = n \: {x}^{n - 1}$

$y = 34 {x}^{4} - 3 {x}^{5} - 2 {x}^{63} \\ \\ \frac{dy}{dx} = 34 \times 4 {x}^{3} - 3 \times 5 {x}^{4} - 2 \times 63 {x}^{62} \\ \\ = 136 {x}^{3} - 15 {x}^{4} - 126 {x}^{62}$
So to find the value at x= 1

$\bigg[\frac{dy}{dx}\bigg]_{(x=1)} = 136 - 15 - 126 \\ \\ \bigg[\frac{dy}{dx}\bigg]_{(x=1)}= - 5$

Hope it helps you.