What is the d/(dθ)(-cos(θ)) ?

The d/(dθ)(-cos(θ)) is sin(θ)

What is the first d/(dθ)(-cos(θ)) ?

The first d/(dθ)(-cos(θ)) is sin(θ)

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\frac{d}{d θ} (- cos (θ))

sin (θ)

Solution steps

\frac{d}{d θ} (- cos (θ))

Take the constant out:

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

= - \frac{d}{d θ} (cos (θ))

Apply the common derivative:

\frac{d}{d θ} (cos (θ)) = - sin (θ)

= - (- sin (θ))

Simplify

= sin (θ)