Ask a New Question

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.

Ask a New Question or answer this question.

Similar Questions

Suppose f(x)=ln x.(a) Find the linear approximation of f at a=1. L(x)= (b) Use the linear approximation to estimate ln 1.27.
1. 1 answer
use tangent line approximation (linear approximation) to estimate The cube root of 1234 to 3 decimal places. Hint: the equation
1. 1 answer
The radius of a sphere was measured to be 20cm with a a possible error of 1/5cm1).Use linear approximation to estimate the
1. 1 answer
a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear approximation of f(x) at x=3.b.)If the linear approximation is used
1. 1 answer

more similar questions