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Differential Calculus

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The function f(x) changes value when x changes from x0 to x0 + dx. Find the approximation error (trianglef -df) . Round your answer, if appropriate.

f(x) = x^3, x0 = 3, dx = 0.02

a. 0.003608

b. 0.005412

c. 0.007216

d. 0.001804

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Hi,

Getting the derivative of f(x), we have:
df(x) = 3x^2 dx

Substituting x0 and dx, we ...

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