Posted by **Georgina** on Sunday, November 5, 2006 at 7:58pm.

Suppose that f(h)=(8+2h)^1/3

Use the linear approximation to estimate the value of f(h) for small values of h. Give your answer in terms of h.

Thanks for all the help.

(Sorry Bob for not stating the subject last time)

d f(h) = 1/2 ((8+2h)^-2/3 (2)

= (1/f(h))^2

so if f(h) = 10, then for small delta h, the d f(h)= 1/100

Neat.

## Answer this Question

## Related Questions

- Calculus - Suppose that you can calculate the derivative of a function using the...
- Physics - You want to make an old-fashioned pendulum clock, with a period of ...
- Practice Exam Calculus - The radius of a sphere was measured to be 20cm with a ...
- calculus - The radius of a sphere was measured to be cm with a possible error of...
- math - Suppose f(x)=ln x. (a) Find the linear approximation of f at a=1. L(x)= (...
- linear approximation - a) Find the linear approximation of the function f(x)=...
- Calculus - Estimate delta(x) using the Linear Approximation and use a calculator...
- Calculus - Use the Linear Approximation to estimate ∆f=f(3.5)−f(3) ...
- math - (a) Use the Midpoint Rule and the given data to estimate the value of the...
- Math - a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear ...

More Related Questions