Calculus

posted by .

Pls help solve this problem

if sqrt(y)=(arctan)tan-1(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. limiting position of the particle

    A particle moves along the x axis so that its position at any time t>= 0 is given by x = arctan t What is the limiting position of the particle as t approaches infinity?
  2. calculus

    Let f be a function defined by f(x)= arctan x/2 + arctan x. the value of f'(0) is?
  3. calculus

    can anyone tell me if tan-1x= 1 over tan x?
  4. Maths

    if sqrt(y)=(arctan)tan-1(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2
  5. calculus

    Calculate definite integral of dx/(x^4 * sqrt(x^2 + 3)) Over (1,3) I start with the substitution x = sqrt(3)*tan t so: sqrt(x^2 + 3) = sqrt(3) * sec t dx = sqrt(3) * sec^2 t dt x^4 = 9 * tan^4 t The integral simplifies to: = dt/(tan^3 …
  6. Calculus

    1.Evaluate: (1/(x*sqrt(x^2-4)) I know the answer is -1/2*arctan(2/sqrt(x^2-4)), but I am having trouble getting to this answer on my own. I know the formula to solve it is 1/a*arctan(x/a) and that a=2, but that's all I know. 2.Find …
  7. Pre Cal.

    Evaluate tan(cos^(-1)(ã3/2 )+tan^(-1)(ã3/3))?
  8. PreCalculus

    I'm unsure how to even start this problem Solve for x: Arctan( -4/5 ) + Arcos (2/SQRT(5) ) = Arctan(x)
  9. calculus

    Now we prove Machin's formula using the tangent addition formula: tan(A+B)= tanA+tanB/1-tanAtanB. If A= arctan(120/119) and B= -arctan(1/239), how do you show that arctan(120/119)-arctan(1/239)=arctan1?
  10. trigonometry

    tan60=2 tan30/1-tan^2 30 sqrt(3)=I'm confused of that 2 but i guess it means to multiply. again.. sqrt(3)= (2) sqrt(3)/3 / 1- sqrt(3)/2 ^2 now i don't know how to square tan . if u can show me in details i would appreciate it. this …

More Similar Questions