SOLUTION: Given the function g(x) = 2 − x2, evaluate g(x + h) − g(x) h , h ≠ 0

SOLUTION: Given the function g(x) = 2 − x2, evaluate g(x + h) − g(x) h , h ≠ 0

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Question 1194875: Given the function
g(x) = 2 − x2,
evaluate
g(x + h) − g(x)
h
, h ≠ 0
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
g(x+h)=2-(x+h)^2=2-x^2-2xh-h^2
g(x)=2-x^2
subtracting,
=-2xh-h^2
divide that by h and get -2x-h
as h approaches 0 get-2x
the derivative of 2-x^2 is -2x

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