Calculus

posted by .

If f(x)=6arcsin(x4), find f'(x).

  • Calculus -

    f' = 6/√(1-x^8) * 4x^3 = 24x^3/√(1+x^8)

    recall that f=6arcsin(x^4), so
    sin(f/6) = x^4
    1/6 cos(f/6) f' = 4x^3
    f' = 24x^3/cos(f/6)

    but cos(f/6) = √(1-sin^2(f/6)) = √(1-x^8)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre-Calculus/Calculus

    I am too embarassed to ask this Calculus (really pre-calculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x-1 actually f(x)=1/3x+1?
  2. Calculus

    If f(x)=6arcsin(x^3) find f'(x)
  3. Math:Calculus

    Use the Fundamental Theorem of Calculus to find the derivative of g(x)=1/(1+t^5)dt in the interval 1 to x.
  4. COLLEGE CALCULUS. HELP!

    the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+2dt, and find f"(x). my answer was: f'(x)=x^3+x^2+2 f"(x)=x^4/4 + 2x^3/3 + 2x it said its wrong.
  5. Calculus

    The area is bounded by y= x^3, x= 2 is rotated around the x-axis. Find the volume using calculus.
  6. math, calculus 2

    Use part 1 of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du
  7. Calculus Help

    Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 1), (1, 8) A = ?
  8. Finite Math

    Fifty percent of students enrolled in calculus class have previously taken pre-calculus. Thirty percent of these students received an A for the calculus class, whereas twenty percent of the other students received an A for calculus. …
  9. calculus

    Use the Fundamental Theorem of Calculus to find G'(x) if: G(x)=∫ up(x²) bottom(1) cost dt
  10. Calculus

    Use the second fundamental theorem of calculus to find F'(x) F(x)=The integral from 0 -> x^2 (Sin(x)^2)dx

More Similar Questions