# Definition of Derivative/Alt. form of the derivative

• Sep 23rd 2010, 06:18 AM
density
Definition of Derivative/Alt. form of the derivative
Attachment 19022

My teacher assigned this as a review for the test. This particular question looks like definition of derivative to me:

$\displaystyle \lim_{h \to 0} \frac{f(x+h)- f(x)}{h}$

Would that make f(x + h) = sin x
and f(x) = 1/2? I'm very confused on which parts are which.
• Sep 23rd 2010, 06:22 AM
mr fantastic
Quote:

Originally Posted by density
Attachment 19022

My teacher assigned this as a review for the test. This particular question looks like definition of derivative to me:

$\displaystyle \lim_{h \to 0} \frac{f(x+h)- f(x)}{h}$

Would that make f(x + h) = sin x
and f(x) = 1/2? I'm very confused on which parts are which.

f(x) = sin(x) and c = pi/6. Think about it.
• Sep 23rd 2010, 06:33 AM
density
(Think. . . think. . . think. . . )
After much staring, I see it!
Thank you.