SOLUTION: Show that the derivative of f(x) = 3x^2 - 5x + 6 is 6x-5 *Hint* = f(x+h) - f(x)) /(h) *Hint*= set h = 0

Algebra ->  Equations -> SOLUTION: Show that the derivative of f(x) = 3x^2 - 5x + 6 is 6x-5 *Hint* = f(x+h) - f(x)) /(h) *Hint*= set h = 0       Log On


   

Question 1083949: Show that the derivative of
f(x) = 3x^2 - 5x + 6 is 6x-5

*Hint* = f(x+h) - f(x)) /(h)

*Hint*= set h = 0
Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Show that the derivative of
f(x) = 3x^2 - 5x + 6 is 6x-5
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Step 1, find f(x+h)
Step 2, subtract f(x) from f(x+h)
Step 3, divide by h
Step 4, set h = 0
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PS We don't need hints.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
3(x+h)2-5(x+h)+6-3x^2+5x-6 distributing the minus sign.
3x^2+6xh+h^2-5x-5h+6-2x^2+5x-6
3x^2 disappears, 5x disappears, 6 disappears
=(6xh+h^2-5h)/h
=(6x+h-5)
as h approaches 0, the value approaches 6x-5.
When h=0, the value is 6x-5.