Use the alternative form of the derivative to find the derivative of the function at .

Question

Use the alternative form of the derivative to find the derivative of the function  at  .

Quizplus · Accepted Answer

The alternative form of the derivative is $$f'(x) = \lim_{h 	o 0} \frac{f(x+h)-f(x)}{h}$$
Plugging in $x=11ec1854_fdbd_b38e_acfc_9dad0e037e96_TBX8702_11$, we get:
$$f'(11ec1854_fdbd_b38e_acfc_9dad0e037e96_TBX8702_11) = \lim_{h 	o 0} \frac{f(11ec1854_fdbd_b38e_acfc_9dad0e037e96_TBX8702_11+h)-f(11ec1854_fdbd_b38e_acfc_9dad0e037e96_TBX8702_11)}{h}$$
Using the options given, we can see that only option C has the correct hexadecimal value for $11ec1854_fdbd_b38e_acfc_9dad0e037e96_TBX8702_11+h$, which is $11ec1854_fdbd_daa1_acfc_cfd03b3c68b0_TBX8702_11$. Therefore, the answer is option C.

Use the Alternative Form of the Derivative to Find the Derivative