If $f(x)=5x^2+3x-10$ ... Find the average slope of the function $f$ on the interval $[-1,1]$ and ... Verify the MVT by finding a number $c$ in $(-1,1)$ such that $f'(c)=m$
I thought I understood the MVT but I can't seem to solve any problems. This is a good example. Can someone walk me through it so I can see where I went wrong?
Allow me to clarify: I evaluated $f(x)$ for -1 and 1, and got -8 and -2, respectively. I substituted those into the $f(b)-f(a)/b-a$ formula. Should I have evaluated $f'(x)$? What do I do?
Another edit: Can anyone simply walk me through the problem? At this point, I need the most basic instructions possible. I need to see someone solve for f(1) and f(-1), apply those values to the MVT formula, and then solve to find c.