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Popular >

derivative of 94-10cos(pi/(12(x-2)))

Solution

\frac{d}{d x} (94 - 10 cos (\frac{π}{12} (x - 2)))

Solution

\frac{5 π}{6} sin (\frac{π}{12} (x - 2))

Solution steps

\frac{d}{d x} (94 - 10 cos (\frac{π}{12} (x - 2)))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (94) - \frac{d}{d x} (10 cos (\frac{π}{12} (x - 2)))

\frac{d}{d x} (94) = 0

\frac{d}{d x} (10 cos (\frac{π}{12} (x - 2))) = - \frac{5 π}{6} sin (\frac{π}{12} (x - 2))

= 0 - (- \frac{5 π}{6} sin (\frac{π}{12} (x - 2)))

Simplify

= \frac{5 π}{6} sin (\frac{π}{12} (x - 2))

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\frac{d}{d x} ((sin (9 x))^{l n (x)})

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x \to 0 lim (\frac{7 x ^{2} - 4 x}{x})

Frequently Asked Questions (FAQ)

What is the derivative of 94-10cos(pi/(12(x-2))) ?
The derivative of 94-10cos(pi/(12(x-2))) is (5pi)/6 sin(pi/(12)(x-2))
What is the first derivative of 94-10cos(pi/(12(x-2))) ?
The first derivative of 94-10cos(pi/(12(x-2))) is (5pi)/6 sin(pi/(12)(x-2))