calculus

posted by .

A. find y' by implicit differentiation.
B. solve th equation explicitly for y and differentiate to get y' in terms of x.

cos (x) + √y = 5

  • calculus -

    a)
    - sin(x) + (1/2)y^(-1/2)dy/dx = 0
    -(1/4)(1/√y)dy/dx = sin(x)

    dy/dx = -4√y sin(x)

    b)
    √y = 5 - cosx
    y = 25 - 10cosx + cos^2 x
    dy/dx = -10cosx + 2(cosx)(-sinx)
    = -2cosx(5cos(x) + 2sin(x))

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    How do you us implicit differentiation to solve x( y + 2 )^5 = 8 x( y + 2 )^5 = 8 ( y + 2 )^5 d/dx (x) + x d/dx(y+2)^5=d/dx 8 (y+2)^5 + 5x(y+2)^4 dy/dx=0 solve for dx/dy (Broken Link Removed) I assume you want dy/dx. Differentiate …
  2. Calculus 1 - implicit differentiation

    I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4. I would appreciate any help that can be offered.
  3. Calculus 1 - implicit differentiation

    I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4. I would appreciate any help that can be offered.
  4. Calculus

    How do you use imlicit differentiation to differentiate e^(xy)?
  5. Implicit differentiation calculus

    PLEASE HELP , I DON'T UNDERSTAND find dy/dx by implicit differentiation a) xy + x^5y^2 + 3x^3 - 4 = 1 b) lny = cos x thank you
  6. math

    If cos(3 x)6Ó14 x e^2 y=0, find [ dy/dx] using implicit differentiation. In this problem, you should differentiate both sides of this equation with respect to x. First, using implicit differentiation, differentiate the left side …
  7. Calculus [Implicit Differentiation]

    If √x+√y=10 and y(16)=36, find y'(16) by implicit differentiation. If somebody could please help me by explaining how to solve this problem ! Thank you (:
  8. Calculus

    Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
  9. calculus

    Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
  10. Calculus

    Use implicit differentiation to differentiate y=x^(8/37), by writing it as y^37=x^8. Express your answer only in terms of x.

More Similar Questions