Question

To how many decimal places is the symmetric difference quotient accurate when it is used to approximate f ‘(0) for f(x) =4^x and h=0.08?

Answer 1

\[f'(x)\approx\frac{\Delta x}{\Delta h}\]

Answer 2

\[=\frac{f(x+h)-f(x)}h\]\[\large=\frac{4^{x+h}-4^x}h\]

Answer 3

now plug the values in :)

Answer 4

ok i got 2?

Answer 5

@kc_kennylau