Posted by NGOFAKA on Tuesday, October 23, 2007 at 12:11pm.
if sqrt(y)=arctan(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2
Maths - drwls, Tuesday, October 23, 2007 at 12:49pm
y = [arctan(x)]^2
Let u = arctan x and use the chain rule
y = u^2
dy/dx = d(u^2)/du * du/dx
= 2 arctan(x)/(1 + x^2)
(1 + x^2)*dy/dx = 2 arctan x = 2 sqrt y
Are you sure you wrote
That has (1+x^2)dy/dx appearing twice in a row. It doesnt look right
Answer This Question
More Related Questions
- Maths - if sqrt(y)=(arctan)tan-1(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2
- calculus - Let f be a function defined by f(x)= arctan x/2 + arctan x. the value...
- Complex numbers - For the transformation w=(z+i)/(z-i) show that as z moves ...
- Calculus - 1.Evaluate: (1/(x*sqrt(x^2-4)) I know the answer is -1/2*arctan(2/...
- precal - The values of x that are solutions to the equation cos^(2)x=sin2x in ...
- Math Help please!! - Could someone show me how to solve these problems step by ...
- Calc - Evaluate the integral (3x+4)/[(x^2+4)(3-x)]dx a. (1/2)ln(x^2+4) + ln|3-x...
- PreCalculus - I'm unsure how to even start this problem Solve for x: Arctan( -4/...
- Trigonometry - I need help with I just can't seem to get anywhere. this is as ...
- TRIGONOMETRY - Evaluate the expressions: a) arctan(-sqrt(3)) a) Arctan(-sqrt(3...