calculus

posted by .

Xan you please tell me how you find the rate of change of Y= the square root of X when Y is increasing at 2 units per second and X=1?

y= √x

you are given dy/dt = 2 units/sec when x=1

I assume you want dx/dt, that is, how fast is x changing at that moment.

from your equation
dy/dt = 1/(2√x)*dx/dt

when x=1, y =1 from your equation, and dy/dt=2 so sub it in

2 = 1/(2√1) * dx/dt and
dx/dt = 4 units/sec

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math(I Don't Get THIS!!)

    15sqrt8x^16/5sqrt2x^4 *I totally need help with this one!Please help me.! I'm going to assume your problem is this: 15√(8x^16) / 5√(2x^4) You can start by simplifying what's outside the square root sign. 15/5 reduces to …
  2. math

    Resolved QuestionShow me another » AP Calculus related rates problem?
  3. Calculus

    A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to …
  4. Calculus

    A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to …
  5. Calculus

    A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to …
  6. calculus

    the side of squyare,s, is increasing at a rate of k unites per second. find the rate at which the area of the square is increasing
  7. Calculus AB

    The volume V or a cone (V = 1/3 π r² h) is increasing at a rate of 28π cubic units per second. At the instant when the radius r of the cone is 3 units, its volume is 12π cubic units and the radius is increasing at 0.5 …
  8. Calculus

    I'd really like some help in solving an integral. ʃ 1/ √x (1-3√x) In numerator: 1 In denominator: the square root of x times 1 minus 3 times the square root of x The answer given is -2/3 ln l1-3√xl + C but I …
  9. Calculus

    In a right triangle, the hypotenuse is of fixed length of 15 units, one side is increasing in length by 4 units per second while the third side is decreasing in size. At a certain instant the increasing side is of length 9 units. Find …
  10. Calculus AB

    Please help me with this WS 1) Find the value of lim as x-->-(square root of 3) of (-x^4 + 5x^2 -6)/(x+(square root of 3) 2) Find the distance between the discontinuities of g(x)= ((square root of x-4))/(x^2 -5x -1) 3)Find the value …

More Similar Questions