1. ## Derivative

Calculate the derivative of the following function at the given points:

F(x)= 3x^2 xo=2

2. Originally Posted by skweres1
Calculate the derivative of the following function at the given points:

F(x)= 3x^2 xo=2

What is the derivative of x^2 with respect to x?

3. Originally Posted by skweres1
Calculate the derivative of the following function at the given points:

F(x)= 3x^2 xo=2

Are you allowed to use the short cut formulas or the limit definition?

If you can use the short cuts, apply the rule $\frac{d}{dx}\left[x^n\right]=nx^{n-1}$ when finding $f^{\prime}(x)$. Then evaluate at $x_0=2$

If you are supposed to use the limit definition, then evaluate $\lim_{h\to0}\frac{f(2+h)-f(2)}{h}=\lim_{h\to0}\frac{3(2+h)^2-3(2)^2}{h}$.

Does this make sense? Can you finish the problem?

4. The derivative of [tex]F(x) = 3x^

$F(x)' = 6x$

to find the derivative given an x-coordinate, say $x=2$
simply substitute x into the derived function above

$F(2) = 6*2 = 12$

5. Yes THANK YOU!!!