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December 9, 2013

Homework Help: calculus

Posted by lisa on Saturday, March 9, 2013 at 2:42pm.

Use a linear approximation of f(x)=^3√x at x=8 to approximate ^3√7.

• calculus - bobpursley, Saturday, March 9, 2013 at 2:50pm

what are you using this symbol ^ for?

• calculus - lisa, Saturday, March 9, 2013 at 2:53pm

its cubed

• calculus - bobpursley, Saturday, March 9, 2013 at 3:00pm

do you meant the f(x)=cubrtx ?
then f'= 1/ 3(cubrtx)^2

f(7)=f(8)-f'(1)=cubrt8-1/3(cubrt1)2
= 2-1/3=1 2/3=5/3

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