What is the d/(dθ)(({x}(θ))(1+cos(θ))cos(θ)) ?

The d/(dθ)(({x}(θ))(1+cos(θ))cos(θ)) is d/(dθ)({x}(θ))(1+cos(θ))cos(θ)+(-sin(θ)-sin(2θ)){x}(θ)

What is the first d/(dθ)(({x}(θ))(1+cos(θ))cos(θ)) ?

The first d/(dθ)(({x}(θ))(1+cos(θ))cos(θ)) is d/(dθ)({x}(θ))(1+cos(θ))cos(θ)+(-sin(θ)-sin(2θ)){x}(θ)

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\frac{d}{d θ} ((x (θ)) (1 + cos (θ)) cos (θ))

\frac{d}{d θ} (x (θ)) (1 + cos (θ)) cos (θ) + (- sin (θ) - sin (2 θ)) x (θ)

Solution steps

\frac{d}{d θ} ((x (θ)) (1 + cos (θ)) cos (θ))

Apply the Product Rule:

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

f = x (θ), g = (1 + cos (θ)) cos (θ)

= \frac{d}{d θ} (x (θ)) (1 + cos (θ)) cos (θ) + \frac{d}{d θ} ((1 + cos (θ)) cos (θ)) x (θ)

\frac{d}{d θ} ((1 + cos (θ)) cos (θ)) = - sin (θ) - sin (2 θ)

= \frac{d}{d θ} (x (θ)) (1 + cos (θ)) cos (θ) + (- sin (θ) - sin (2 θ)) x (θ)

\frac{100}{( 1 + r ) ^{5}}

\frac{1}{( x + 1 ) ^{3}}

(2 x - 1) e^{3}

(- 7, - 8) y (0, 4)

\frac{2 x - 3}{( x - 2 ) ( x - 3 )}

What is the d/(dθ)(({x}(θ))(1+cos(θ))cos(θ)) ?
The d/(dθ)(({x}(θ))(1+cos(θ))cos(θ)) is d/(dθ)({x}(θ))(1+cos(θ))cos(θ)+(-sin(θ)-sin(2θ)){x}(θ)
What is the first d/(dθ)(({x}(θ))(1+cos(θ))cos(θ)) ?
The first d/(dθ)(({x}(θ))(1+cos(θ))cos(θ)) is d/(dθ)({x}(θ))(1+cos(θ))cos(θ)+(-sin(θ)-sin(2θ)){x}(θ)