Homework Help: Calculus

Posted by sh on Tuesday, October 26, 2010 at 8:59pm.

Find the linear approximation L(x) of the given function at a, and use it to approximate the function value at the given x-value.

f(x)=x^(1/3), a=-27, x=-28

I found the derivative to be
f'(x)= 1/[3(-27)^(2/3)]
but it does not exist because a number cannot be negative in a root.

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