I have a homework assignment due tonight, and I feel like this guy ---->

Here are the two questions I still do not understand

1.) Write in slope intercept form the equation for the tangent line for the curve y=sin(x) at x=(pi/3).

What I do know is the f'(x)=cos(x).

Next, do I plug pi/3 into the derivative?? I'm lost at this point.

the slope at x = pi/3 is f'(pi/3)
2.) Use the

**definition of the derivative** to compute the derivative of f(x) = squareroot(x-3)

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

$\displaystyle \textcolor{red}{f(x) = \sqrt{x-3}}$

$\displaystyle \textcolor{red}{f(x+h) = \sqrt{x+h-3}}$