Question

Find the derivative of the function at the given numberf(x)=x^2 - 5 when x=3

Answer 1

Given the function:

`f(x)=x^2-5`

We will find the derivative of the function using the exponent rule

so, the derivative of f(x) will be as follows:

`f^(\prime)(x)=2x`

We will find the value of the derivative when x = 3

so, substitute with x = 3 into f'(x)

`f^(\prime)(3)=2\cdot3=6`

So, the answer will be:

The derivative of the function at (x = 3) will be = 6