SOLUTION: compute and simplify the difference quotient F(x+h)-F(x)/h F(x)=11-4x^3

SOLUTION: compute and simplify the difference quotient F(x+h)-F(x)/h F(x)=11-4x^3

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Question 40924: compute and simplify the difference quotient F(x+h)-F(x)/h
F(x)=11-4x^3
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
compute and simplify the difference quotient F(x+h)-F(x)/h
F(x)=11-4x^3
F(X+H)=11-4(X+H)^3=11-4(X^3+H^3+3X^2H+3XH^2)=11-4X^3-4H^3-12X^2H-12XH^2
F(X+H)-F(X)=(-4H^3-12X^2H-12XH^2)/H=-4(H^2+3X^2+3XH)
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