monkeybj48 monkeybj48

24-06-2016
Mathematics

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For the function f(x)=10x^2+x, evaluate and simplify the expression: f(a+h)-f(a)/h?

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padawan padawan

24-06-2016

f(x) = 10x^2 + x
(f(a+h) - f(a))/h
= ([10(a+h)^2 + (a+h)] - [10a^2 + a])/h
= (10a^2 + 20ah + 10h^2 + a + h - 10a^2 - a)/h
= (20ah + 10h^2 + h)/h
= 20a + 10h + 1

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