Mathematics, 06.10.2019 06:00 officialgraciela67
Suppose f(π/3) = 3 and f '(π/3) = −5, and let g(x) = f(x) sin(x) and h(x) = cos(x)/f(x). find the following.
a. g'(π/3)
b. h'(π/3)
Answers: 1
![\bf h(x)=\cfrac{cos(x)}{f(x)}\implies \cfrac{dh}{dx}=\cfrac{-sin(x)f(x)-cos(x)\frac{df}{dx}}{\left[ f(x) \right]^2} \\\\\\ h'\left( \frac{\pi }{3} \right)=\cfrac{-sin\left( \frac{\pi }{3} \right)f\left( \frac{\pi }{3} \right)-cos\left( \frac{\pi }{3} \right)f'\left( \frac{\pi }{3} \right)}{\left[ f\left( \frac{\pi }{3} \right) \right]^2}](/tpl/images/0292/3745/d0cd2.png)
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Suppose f(π/3) = 3 and f '(π/3) = −5, and let g(x) = f(x) sin(x) and h(x) = cos(x)/f(x). find the fo...
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