SOLUTION: Evaluate the difference quotient for the function f(x). Begin with the formula for the difference quotient and simplify your answer completely. Show step by step work.
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Question 1010483: Evaluate the difference quotient for the function f(x). Begin with the formula for the difference quotient and simplify your answer completely. Show step by step work.
Thanks in advance! Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! f(x) = x^2 +4x +7
definition of difference quotient
f'(x) = f(x+h) - f(x) / h
f'(x) = (((x+h)^2 +4(x+h) -7) - (x^2+4x-7)) / h
f'(x) = (x^2+2xh+h^2+4x+4h-7 -x^2-4x+7) / h
f'(x) = (2xh+h^2+4h) / h
f'(x) = (2x +h +4)
limit as h--->0 f'(x) = 2x+4
