Friday

March 6, 2015

March 6, 2015

Posted by **theo** on Sunday, July 4, 2010 at 5:43pm.

- calculus -
**Damon**, Sunday, July 4, 2010 at 6:02pmassume you mean

h = [cos (x)/(1+sin x)]^4

let z = [cos (x)/(1+sin x)]

then

dh/dz = 4 z^3

dh/dx = dh/dz * dz/dx

dh/dx = 4 [cos (x)/(1+sin x)]^3 d/dx[[cos (x)/(1+sin x)]

d/dx[cos (x)/(1+sin x)] = [(1+sin x)(-sin x) -cos^2x] / (1+sin x)^2

= [-sin x -1]/(1+sin x)^2 = -1/(1+sin x)

so

dh/dx = 4 [cos (x)/(1+sin x)]^3 (-1)/(1+sin x)

= -4 cos x/ (1+sin x)^4

**Answer this Question**

**Related Questions**

Calculus 12th grade (double check my work please) - 1.)Find dy/dx when y= Ln (...

calculus - Could someone check my reasoning? thanx Find the derivative of the ...

calculus - 1. Which of the following expressions is the definition of the ...

calculus - Differentiate both sides of the double angle identify sin 2x= 2 sin x...

calc - d/dx integral from o to x of function cos(2*pi*x) du is first i do the ...

calculus - Find the points on the curve y= (cos x)/(2 + sin x) at which the ...

please help me calc. have test tom - d/dx integral from o to x of function cos(2...

calculus help - find the derivative of the function. integral cos(x) to sin(x...

calculus - Find the derivative r '(t) of the vector function r(t). <t cos 5t...

calc - find the area between the x-axis and the graph of hte given function over...