What is the derivative of cos(θ)-θsin(θ) ?

The derivative of cos(θ)-θsin(θ) is -2sin(θ)-θcos(θ)

What is the first derivative of cos(θ)-θsin(θ) ?

The first derivative of cos(θ)-θsin(θ) is -2sin(θ)-θcos(θ)

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derivative of

cos (θ) - θ sin (θ)

- 2 sin (θ) - θ cos (θ)

Solution steps

\frac{d}{d θ} (cos (θ) - θ sin (θ))

Apply the Sum/Difference Rule:

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

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

\frac{d}{d θ} (cos (θ)) = - sin (θ)

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

= - sin (θ) - (sin (θ) + θ cos (θ))

Simplify

= - 2 sin (θ) - θ cos (θ)

\frac{d}{d x} (\frac{a x + b}{c x - a})

x^{2} - 3, y = 1

\frac{d}{d x} ((ln (x))^{c o s (4 x)})

\frac{x ^{2}}{12}

x \to + 3 - lim (sin (π + x) + 1)

What is the derivative of cos(θ)-θsin(θ) ?
The derivative of cos(θ)-θsin(θ) is -2sin(θ)-θcos(θ)
What is the first derivative of cos(θ)-θsin(θ) ?
The first derivative of cos(θ)-θsin(θ) is -2sin(θ)-θcos(θ)