What is the d/(dθ)(cos(θ)-sin(θ)) ?

The d/(dθ)(cos(θ)-sin(θ)) is -sin(θ)-cos(θ)

What is the first d/(dθ)(cos(θ)-sin(θ)) ?

The first d/(dθ)(cos(θ)-sin(θ)) is -sin(θ)-cos(θ)

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\frac{d}{d θ} (cos (θ) - sin (θ))

- sin (θ) - cos (θ)

Solution steps

\frac{d}{d θ} (cos (θ) - sin (θ))

Apply the Sum/Difference Rule:

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

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

\frac{d}{d θ} (cos (θ)) = - sin (θ)

\frac{d}{d θ} (sin (θ)) = cos (θ)

= - sin (θ) - cos (θ)

What is the d/(dθ)(cos(θ)-sin(θ)) ?
The d/(dθ)(cos(θ)-sin(θ)) is -sin(θ)-cos(θ)
What is the first d/(dθ)(cos(θ)-sin(θ)) ?
The first d/(dθ)(cos(θ)-sin(θ)) is -sin(θ)-cos(θ)