What is the derivative of 65-55cos((pix/(15))) ?

The derivative of 65-55cos((pix/(15))) is (11pi)/3 sin((pix)/(15))

What is the first derivative of 65-55cos((pix/(15))) ?

The first derivative of 65-55cos((pix/(15))) is (11pi)/3 sin((pix)/(15))

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\frac{d}{d x} (65 - 55 cos (\frac{π x}{15}))

\frac{11 π}{3} sin (\frac{π x}{15})

Solution steps

\frac{d}{d x} (65 - 55 cos (\frac{π x}{15}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (65) - \frac{d}{d x} (55 cos (\frac{π x}{15}))

\frac{d}{d x} (65) = 0

\frac{d}{d x} (55 cos (\frac{π x}{15})) = - \frac{11 π}{3} sin (\frac{π x}{15})

= 0 - (- \frac{11 π}{3} sin (\frac{π x}{15}))

Simplify

= \frac{11 π}{3} sin (\frac{π x}{15})

\frac{\partial}{\partial x} (\frac{x ^{2} + 4}{y - 3})

y^{^{'}} = \frac{y ^{2} - y}{x}

x + 2, x^{2}, - 1, 2

y = \frac{x}{3 + x}

\int - \frac{3}{x ^{3}} d x

What is the derivative of 65-55cos((pix/(15))) ?
The derivative of 65-55cos((pix/(15))) is (11pi)/3 sin((pix)/(15))
What is the first derivative of 65-55cos((pix/(15))) ?
The first derivative of 65-55cos((pix/(15))) is (11pi)/3 sin((pix)/(15))