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September 1, 2014

September 1, 2014

Posted by **Christina** on Monday, November 7, 2011 at 4:59pm.

and let g(x) = f(x) sin x and

h(x) = (cos x)/f(x). Find the following.

a. g'(pi/3)

b. h'(pi/3)

- Calculus -
**Steve**, Monday, November 7, 2011 at 7:17pmg = f*sin(x)

g' = f'*sin(x) + f*cos(x)

g'(pi/3) = (-7)*√3/2 + 3*1/2 = (3-7√3)/2

h = cos(x)/f

h' = (-sin(x)*f - cos(x)*f')/f^2

h'(pi/3) = [(-√3/2)*3 - (1/2)(-7)]/9 = (7-3√3)/18

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