What is the derivative of 2cos(pit) ?

The derivative of 2cos(pit) is -2pisin(pit)

What is the first derivative of 2cos(pit) ?

The first derivative of 2cos(pit) is -2pisin(pit)

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derivative of

2 cos (π t)

- 2 π sin (π t)

Solution steps

\frac{d}{d t} (2 cos (π t))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d t} (cos (π t))

Apply the chain rule:

- sin (π t) \frac{d}{d t} (π t)

= - sin (π t) \frac{d}{d t} (π t)

\frac{d}{d t} (π t) = π

= 2 (- sin (π t) π)

Simplify

= - 2 π sin (π t)

\frac{\partial}{\partial y} ((x - 5)^{\frac{1}{4}} y^{\frac{1}{4}})

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

\frac{d}{d x} (- e^{- x y})

\int_{1}^{\infty} (e^{- x}) d x

\int \frac{6}{x - 1} d x

What is the derivative of 2cos(pit) ?
The derivative of 2cos(pit) is -2pisin(pit)
What is the first derivative of 2cos(pit) ?
The first derivative of 2cos(pit) is -2pisin(pit)