Given the function f(x) = 5a² + 8 +9
1. Find and simplify the difference quotient.
f(x + h) - f(x)
h
2. Find f'(x) by definition.
5h+10x+8
f(x+h) - f(x)
f'(x)=lim
-
h
3. Evaluate:
(a) f'(-5)=-42
(b) f'(1) = 18
(c) f'(6)
68
4. Find the equation of the line in slope intercept form tangent to f at x=-2