Question

Review Photo Please Solve in a timely manner. Lost connection with previous tutor steps understood.

Answer 1

Given the expression

`f(x)=4x^2-8`

Then

`f(x+h)=4(x+h)^2-8`

The next step is to substitute the values into the expression

`(f(x+h)-f(x))/(h)=(4(x+h)^2-8-(4x^2-8))/(h)`

=>

`(4x^2+8xh+h^2-8-4x^2+8)/(h)=(h^2+8xh)/(h)`

=>

`(h(h+8x))/(h)`

=>

`\begin{gathered} h+8x \\ If\text{ we take the limit as h tends to 0} \\ \Rightarrow0+8x \\ \\ \Rightarrow8x \end{gathered}`

Answer = 8x