What is the d/(dθ)(({r}(θ))(9-θ^3cos(θ))) ?

The d/(dθ)(({r}(θ))(9-θ^3cos(θ))) is d/(dθ)({r}(θ))(9-θ^3cos(θ))+(θ^3sin(θ)-3θ^2cos(θ)){r}(θ)

What is the first d/(dθ)(({r}(θ))(9-θ^3cos(θ))) ?

The first d/(dθ)(({r}(θ))(9-θ^3cos(θ))) is d/(dθ)({r}(θ))(9-θ^3cos(θ))+(θ^3sin(θ)-3θ^2cos(θ)){r}(θ)

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\frac{d}{d θ} ((r (θ)) (9 - θ^{3} cos (θ)))

\frac{d}{d θ} (r (θ)) (9 - θ^{3} cos (θ)) + (θ^{3} sin (θ) - 3 θ^{2} cos (θ)) r (θ)

Solution steps

\frac{d}{d θ} ((r (θ)) (9 - θ^{3} cos (θ)))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = r (θ), g = 9 - θ^{3} cos (θ)

= \frac{d}{d θ} (r (θ)) (9 - θ^{3} cos (θ)) + \frac{d}{d θ} (9 - θ^{3} cos (θ)) r (θ)

\frac{d}{d θ} (9 - θ^{3} cos (θ)) = θ^{3} sin (θ) - 3 θ^{2} cos (θ)

= \frac{d}{d θ} (r (θ)) (9 - θ^{3} cos (θ)) + (θ^{3} sin (θ) - 3 θ^{2} cos (θ)) r (θ)

1 + \frac{( k \cdot ( s ^{2} - 2 s + 2 ) )}{s ( s + 1 ) ( s + 2 )}

- (\frac{9}{13} lo g_{2} (\frac{9}{13}) + \frac{4}{13} lo g_{2} (\frac{4}{13}))

ln (20) (e^{\frac{x}{52}} - 1)

2 t^{4} e^{- 2 t} + [U^{4} (t) (t - 3)]

sin ((4 n + 3) \cdot 9 0^{\circ})

What is the d/(dθ)(({r}(θ))(9-θ^3cos(θ))) ?
The d/(dθ)(({r}(θ))(9-θ^3cos(θ))) is d/(dθ)({r}(θ))(9-θ^3cos(θ))+(θ^3sin(θ)-3θ^2cos(θ)){r}(θ)
What is the first d/(dθ)(({r}(θ))(9-θ^3cos(θ))) ?
The first d/(dθ)(({r}(θ))(9-θ^3cos(θ))) is d/(dθ)({r}(θ))(9-θ^3cos(θ))+(θ^3sin(θ)-3θ^2cos(θ)){r}(θ)