Cal 1

posted by .

Find the linearization L(x) of the function at a.
f(x) = x^4/5, a = 32

  • Cal 1 -

    Assuming you mean x^(4/5), else x^4 is huge at x=32,

    f(32) = 16
    f' = 4/5 x^(-1/5)
    f'(32) = 4/5 * 1/2 = 2/5

    So, now you have a point (32,16) and a slope (2/5). What's the line?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Find the linearization of f(x)= sqrtx at x=25 and use the linearization to approximate sqrt25.2 This is my math: 5+ 1/10 * (25.2-25) but it's wrong.
  2. calculus

    Find the linearization of the function below at x = π y=sin(x)/x Your answer should be a linear function of x where the coefficients are accurate to at least two decimal places. Don't understand this problem. please help..
  3. Linearization

    Find the linear approximation of the function f(x) = √16-x at a = 0
  4. Linearization 2

    ind the linearization L(x) of the function at a = -1. f(x) = x^4 + 6x^2
  5. Calc

    Find the linearization L(x) of the function at a. f(x) = x^1/2, a = 25
  6. calculus

    Find the linearization L(x) of the function at a. f(x) = x3/4, a = 81
  7. Calculus

    Find the local linearization of g(x)=sqrt 4x near x=2 use local linearization to estimate g(2.05) is your estimate too high or too low?
  8. Math

    Find the linearization L(x) of the function g(x) = xf(x^2) at x = 2 given the following information. f(2)=1 f'(2)=8 f(4)=4 f'(f)=-3 L(x)=
  9. CAL

    Hi, im lost in theses three problems. Please help. Thank you so much!!! 1. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = 3 squareroot all 1 + 5x (g(x), …
  10. calc

    For each function below find the best linear approximation (linearization) at the given value. f(x) = x^-1 at x = 2 y = 1/2 f ' (x) = -1x^-2 at x = 2 : -1/4 y - 1/2 = -1/4 (x-2) y - 1/2 = -1/4x + 1/2 y = -1/4x + 1 Use the appropriate …

More Similar Questions