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. {{{ f(x)=

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

RELATED QUESTIONS
Evaluate the difference quotient for the given function. Simplify your answer. f(x)=-x^3, (answered by Fombitz)

In College Algebra we begin to work with and simplify the difference quotient, which is... (answered by josgarithmetic)

In College Algebra we begin to work with and simplify the difference quotient, which is... (answered by jim_thompson5910)

In College Algebra we begin to work with and simplify the difference quotient, which is... (answered by josgarithmetic,AnlytcPhil)

In College Algebra we begin to work with and simplify the difference quotient, which is... (answered by rothauserc)

In College Algebra we begin to work with and simplify the difference quotient, which is (answered by Boreal)

In College Algebra we begin to work with and simplify the difference quotient, which is... (answered by CubeyThePenguin)

For the function f(x)=x^2-8, construct and simplify the difference quotient... (answered by nabla)

Find and simplify the difference quotient for the given function. f(x) = x2 + 9x - 2 (answered by ewatrrr)