Thread: Definition of Derivative/Alt. form of the derivative

1. Definition of Derivative/Alt. form of the derivative

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.

2. Originally Posted by density

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.

3. (Think. . . think. . . think. . . )
After much staring, I see it!
Thank you.