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Popular >

derivative of 6-5cos((pix/(15)))

Solution

\frac{d}{d x} (6 - 5 cos (\frac{π x}{15}))

Solution

\frac{π}{3} sin (\frac{π x}{15})

Solution steps

\frac{d}{d x} (6 - 5 cos (\frac{π x}{15}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6) - \frac{d}{d x} (5 cos (\frac{π x}{15}))

\frac{d}{d x} (6) = 0

\frac{d}{d x} (5 cos (\frac{π x}{15})) = - \frac{π}{3} sin (\frac{π x}{15})

= 0 - (- \frac{π}{3} sin (\frac{π x}{15}))

Simplify

= \frac{π}{3} sin (\frac{π x}{15})

Popular Examples

integral of (x^4+4)/(x^4)

\int \frac{x ^{4} + 4}{x ^{4}} d x

derivative of sqrt(x-1)+sqrt(x+1)

\frac{d}{d x} (x - 1 + x + 1)

integral of 200sin(5x)\sqrt[3]{cos(5x)}

limit as b approaches 7 of 6b+31

b \to 7 lim (6 b + 31)

integral from 0 to 1 of (x^2+5x)e^{-x}

\int_{0}^{1} (x^{2} + 5 x) e^{- x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 6-5cos((pix/(15))) ?
The derivative of 6-5cos((pix/(15))) is pi/3 sin((pix)/(15))
What is the first derivative of 6-5cos((pix/(15))) ?
The first derivative of 6-5cos((pix/(15))) is pi/3 sin((pix)/(15))