a few calc problems i need help with

Jun 2010
3
0
thanks tonio and skeeter for helping me with the other problem.

heres more problems i need help with T.T

Find derivative of:

y = cos^-1(x+y)

y = tan^-1(x+y)


Find Integrals of:

(sec(x)^4)/(sqrt(tanx)) dx
 

mr fantastic

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thanks tonio and skeeter for helping me with the other problem.

heres more problems i need help with T.T

Find derivative of:

y = cos^-1(x+y)

y = tan^-1(x+y)
[snip]
Re-write as x = cos(y) - y and x = tan(y) - y and find dx/dy in the usual way. Then dy/dx = 1/(dx/dy).

[snip]
Find Integrals of:

(sec(x)^4)/(sqrt(tanx)) dx
Substitute \(\displaystyle \sec^4 (x) = \sec^2 x \sec^2 x = (1 + \tan^2 x) \sec^2 x\) and then make the substitution \(\displaystyle u = \tan x\).

If you need more help, please show all your work and say where you get stuck.