Calculus

posted by Mark

Given the following functions: F(u)= u^(5/2) and g(x)= x^6+1, find-f(g(x))=?, f'(u)=?, f'(g(x))=?, g'(x)=?,(f o g)'(x)=?

  1. Steve

    f(g) = (fog) = g^(5/2) = (x^6 + 1)^(5/2)

    f'(u) = /2 u^(3/2)

    f'(g(x)) = 5/2 g^(3/2) g' = 5/2 (x^6+1)^(3/2) * 6x^5

    g'(x) = 6x^5

    (fog)' = 5/2 (x^6+1)^(3/2) * 6x^5

Respond to this Question

First Name

Your Answer

Similar Questions

  1. calculus

    give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?
  2. Calculus

    We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic …
  3. Function compostions

    Sorry I had to repost, I left somethings out. Can you please check my answers?
  4. Pre-Calculus

    Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this?
  5. pre calculus

    consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all.
  6. Calculus

    Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference …
  7. Calculus

    Math questions, please help me? :(? Find the composite functions f o g and g o f for the given functions. f(x) = 10^x and g(x) = log x State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 -
  8. advanced functions/precalculus

    1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following …
  9. calculus

    Let f'(x)=4x^3-12x^2. (a) find three different functions with derivative equal to f'(x). how are the graphs of the three functions related?
  10. calculus

    for trigonometric functions and rhythmic functions questions, how do you know when to use either f(t)=A sin (w(t-a)) or f(t) = A cos ( w(t-a)) ?

More Similar Questions