Monday

July 28, 2014

July 28, 2014

Posted by **jin** on Saturday, August 28, 2010 at 1:49am.

Let f(x)=(x )^(1/3). The linear approximation to f(x) at x=8 can be written in the form y=mx+b where m is: and where b is:

Using this, we find our approximation for (8.4)^(1/3) is

- calculus -
**Damon**, Saturday, August 28, 2010 at 9:16amy = x^(1/3)

dy/dx = (1/3) x^-(1/3)

at x = 8

y(8) = 2

dy/dx = (1/3)/2

y(x+h) = y(x) + h dy/dx

y(8.4) = 2 + .4 (1/3)/2

**Related Questions**

Math - Use differential, i.e., linear approximation, to approximate (125.4^(1/3...

Calculus - Use linear approximation, i.e. the tangent line, to approximate 8.4^(...

Calculus - Use linear approximation, i.e. the tangent line, to approximate 8.4...

Calculus(Urgent help) - f(x)=x^3-3x^2+3x+1 near 2 (at a=2) A. Use Linear ...

Math - Use linear approximation, i.e. the tangent line, to approximate 1.6^3 as ...

linear approx - I have no idea how to do this, anyone have any hints? Use linear...

Linear Approximation - Use linear approximation, i.e. the tangent line, to ...

Math (linear approximation) - Find a linear approximation of the function f(x)=(...

calculus - Use Newton's method to approximate a root of the equation 3sin(x)=x ...

calculus - Use Newton's method to approximate a root of the equation 3sin(x)=x ...