What is the derivative of 6-5cos(pi/(15x)) ?

The derivative of 6-5cos(pi/(15x)) is pi/3 sin((pix)/(15))

What is the first derivative of 6-5cos(pi/(15x)) ?

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

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

\frac{π}{3} sin (\frac{π x}{15})

Solution steps

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

Simplify

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

= \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})

\int_{0}^{π} 18 sin^{4} (x) d x

x y^{^{''}} + y^{^{'}} = 28 x

\frac{d}{d x} (ln (1 - 3 x^{2}))

\frac{d}{d x} (\frac{x ^{2} + 5 x + 6}{x ^{2} - 4})

\frac{\partial}{\partial y} (\frac{x ^{2}}{( x - y ) ^{2}})

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