SOLUTION: Find and simplify the difference quotient f(x + h) - f(x) h , h 0 for the given function. 4) f(x) = x2 + 3x + 9

Algebra ->  Rational-functions -> SOLUTION: Find and simplify the difference quotient f(x + h) - f(x) h , h 0 for the given function. 4) f(x) = x2 + 3x + 9       Log On


   

Question 323618: Find and simplify the difference quotient
f(x + h) - f(x)
h
, h 0 for the given function.
4) f(x) = x2 + 3x + 9
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2+%2B+3x+%2B+9
.
.
f%28x%2Bh%29=%28x%2Bh%29%5E2%2B3%28x%2Bh%29%2B9
f%28x%2Bh%29=%28x%5E2%2B2hx%2Bh%5E2%29%2B3x%2B3h%2B9
.
.
f%28x%2Bh%29-f%28x%29=2hx%2Bh%5E2%2B3h
.
.
%28f%28x%2Bh%29-f%28x%29%29%2Fh=2x%2Bh%2B3
.
.
lim%28x-%3E0%2C%28f%28x%2Bh%29-f%28x%29%29%2Fh=2x%2B3%29