What is the d/(dq)(({p}(q))(1+cos(q))cos(q)) ?

The d/(dq)(({p}(q))(1+cos(q))cos(q)) is d/(dq)({p}(q))(1+cos(q))cos(q)+(-sin(q)-sin(2q)){p}(q)

What is the first d/(dq)(({p}(q))(1+cos(q))cos(q)) ?

The first d/(dq)(({p}(q))(1+cos(q))cos(q)) is d/(dq)({p}(q))(1+cos(q))cos(q)+(-sin(q)-sin(2q)){p}(q)

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\frac{d}{d q} ((p (q)) (1 + cos (q)) cos (q))

\frac{d}{d q} (p (q)) (1 + cos (q)) cos (q) + (- sin (q) - sin (2 q)) p (q)

Solution steps

\frac{d}{d q} ((p (q)) (1 + cos (q)) cos (q))

Apply the Product Rule:

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

f = p (q), g = (1 + cos (q)) cos (q)

= \frac{d}{d q} (p (q)) (1 + cos (q)) cos (q) + \frac{d}{d q} ((1 + cos (q)) cos (q)) p (q)

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

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

(x - 4) (\frac{1}{2} x^{2} + 3 x + 4)

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

\frac{( x ^{3} + x ^{2} + 2 x + 6 )}{( x ^{2} + 1 ) ^{2}}

(e^{(- 2 t)} - e^{(2 t)})^{2}

\frac{3 x + 4}{x ( x + 1 ) ( x - 1 )}

What is the d/(dq)(({p}(q))(1+cos(q))cos(q)) ?
The d/(dq)(({p}(q))(1+cos(q))cos(q)) is d/(dq)({p}(q))(1+cos(q))cos(q)+(-sin(q)-sin(2q)){p}(q)
What is the first d/(dq)(({p}(q))(1+cos(q))cos(q)) ?
The first d/(dq)(({p}(q))(1+cos(q))cos(q)) is d/(dq)({p}(q))(1+cos(q))cos(q)+(-sin(q)-sin(2q)){p}(q)