What is the derivative of-cos(pix) ?

The derivative of-cos(pix) is pisin(pix)

What is the first derivative of-cos(pix) ?

The first derivative of-cos(pix) is pisin(pix)

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\frac{d}{d x} (- cos (π x))

π sin (π x)

Solution steps

\frac{d}{d x} (- cos (π x))

Take the constant out:

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

= - \frac{d}{d x} (cos (π x))

Apply the chain rule:

- sin (π x) \frac{d}{d x} (π x)

= - sin (π x) \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= - (- sin (π x) π)

Simplify

= π sin (π x)

t^{2} y^{^{'}} + 4 t y - y^{3} = 0

x^{2}, 9 + x

\int csc^{2} (t) - 2 e^{t} d t

\frac{d}{d x} (a (x - b)^{2})

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

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