Question

Compute for the derivative of the function below for x = 1. y=x2−6xx−3−−−−√

Answer 1

Solution:

First differentiate the given function

$y = {x}^{2} - 6x - 3 \\ \\ \frac{dy}{dx} = 2x - 6$
Since
$\frac{d{x}^{n}}{dx} = n {x}^{n - 1} \\ \\ \frac{dc}{dx} = 0$
where C is constant

Now to find derivative at x = 1, put the value x = 1 in the derivative

$(\frac{dy}{dx} )_{x=1} = 2(1) - 6 \\ \\ = 2 - 6 \\ \\ (\frac{dy}{dx} )_{x=1}= - 4$
Hope it helps you.