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Given f(x)=(x+3)^3, use linear approximation to approximate f(.1)

User Mark Evans
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1 Answer

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Hey there!

f(x) = (x + 3)^3

y = (x + 3)^3

y = (x + 3)(x + 3)(x + 3)

y = x(x^2) + x(6x) + x(9) + 3(x^2) + 3(6x) + 3(9)

y = x(x^2) + 6x(x) + 9(x) + 3(x^2) + 3(6x) + 3(9)

y = x^3 + 6x^2 + 9x + 3x^2 + 18x + 27

y = x^3 + 9x + 27x + 27

Therefore, your answer should be approximately: f(x) = x^3 + 9x + 27x + 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Given f(x)=(x+3)^3, use linear approximation to approximate f(.1)-example-1
User Eve Juan
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