What is the derivative of-6sin(pi/(12x)+18) ?

The derivative of-6sin(pi/(12x)+18) is -pi/2 cos((pix)/(12))

What is the first derivative of-6sin(pi/(12x)+18) ?

The first derivative of-6sin(pi/(12x)+18) is -pi/2 cos((pix)/(12))

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\frac{d}{d x} (- 6 sin (\frac{π}{12} x) + 18)

- \frac{π}{2} cos (\frac{π x}{12})

Solution steps

\frac{d}{d x} (- 6 sin (\frac{π}{12} x) + 18)

Simplify

- 6 sin (\frac{π}{12} x) + 18 : - 6 sin (\frac{π x}{12}) + 18

= \frac{d}{d x} (- 6 sin (\frac{π x}{12}) + 18)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (6 sin (\frac{π x}{12})) + \frac{d}{d x} (18)

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

\frac{d}{d x} (18) = 0

= - \frac{π}{2} cos (\frac{π x}{12}) + 0

Simplify

= - \frac{π}{2} cos (\frac{π x}{12})

\int_{0}^{\frac{π}{2}} cos^{5} (y) d y

\int 8 \cdot sin^{4} (x) d x

\frac{x ^{7}}{a} + \frac{a}{b} x^{6} - c x

cos (t - 1)

\int \frac{1}{x ^{2} - 324} d x

What is the derivative of-6sin(pi/(12x)+18) ?
The derivative of-6sin(pi/(12x)+18) is -pi/2 cos((pix)/(12))
What is the first derivative of-6sin(pi/(12x)+18) ?
The first derivative of-6sin(pi/(12x)+18) is -pi/2 cos((pix)/(12))