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25-10-2020
Mathematics

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For functions f(x)=1-4x^2 find and simplify thw difference quotient show your work

f(x+h)-f(x)
______
h

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davisshenni davisshenni

25-10-2020

f(x) = 4x2

[f(x+h) - f(x)]/h = [4(x+h)2 - 4x2]/h

= [4(x2 + 2xh + h2) - 4x2]/h

= [4x2 + 8xh + 4h2 - 4x2]/h

= [8xh + 4h2]/h

= [h(8x + 4h)]/h

= 8x + 4h

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