What is the d/(dt)(incos(t)) ?

The d/(dt)(incos(t)) is -insin(t)

What is the first d/(dt)(incos(t)) ?

The first d/(dt)(incos(t)) is -insin(t)

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\frac{d}{d t} (in cos (t))

- in sin (t)

Solution steps

\frac{d}{d t} (in cos (t))

Take the constant out:

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

= in \frac{d}{d t} (cos (t))

Apply the common derivative:

\frac{d}{d t} (cos (t)) = - sin (t)

= in (- sin (t))

Simplify

= - in sin (t)

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\int_{0}^{\frac{3}{2}} x cos (π) x d x