Sunday

December 21, 2014

December 21, 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

**Answer this Question**

**Related Questions**

maths - Choose the option that gives an expression for the indefinite integral...

Pre Calculus - Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = ...

Pre Calculus - Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = ...

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

tigonometry - expres the following as sums and differences of sines or cosines ...

Math - Calculus - The identity below is significant because it relates 3 ...

trig - Reduce the following to the sine or cosine of one angle: (i) sin145*cos75...

TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...

Trig - 4. Asked to simplify the expression sin(180−è), Rory volunteered ...

Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...