Asked by aaron
find: f(x+h)-f(x)/ h
when: f(x)=x^2+5x
when: f(x)=x^2+5x
Answers
Answered by
Reiny
f(x+h) = (x+h(^2 + 5(x+h)
= x^2 + 2xh + h^2 + 5x + 5h
( f(x+h) - f(x) )/h
= (x^2 + 2xh + h^2 + 5x + 5h - x^2 - 5x) /h
= (2xh + h^2 + 5h)/h
= 2x + h + 5 , h ≠ 0
= x^2 + 2xh + h^2 + 5x + 5h
( f(x+h) - f(x) )/h
= (x^2 + 2xh + h^2 + 5x + 5h - x^2 - 5x) /h
= (2xh + h^2 + 5h)/h
= 2x + h + 5 , h ≠ 0
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