What is the d/(dq)((1+sec(q))sin(q)) ?

The d/(dq)((1+sec(q))sin(q)) is cos(q)+sec^2(q)

What is the first d/(dq)((1+sec(q))sin(q)) ?

The first d/(dq)((1+sec(q))sin(q)) is cos(q)+sec^2(q)

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\frac{d}{d q} ((1 + sec (q)) sin (q))

cos (q) + sec^{2} (q)

Solution steps

\frac{d}{d q} ((1 + sec (q)) sin (q))

Simplify

(1 + sec (q)) sin (q) : sin (q) + tan (q)

= \frac{d}{d q} (sin (q) + tan (q))

Apply the Sum/Difference Rule:

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

= \frac{d}{d q} (sin (q)) + \frac{d}{d q} (tan (q))

\frac{d}{d q} (sin (q)) = cos (q)

\frac{d}{d q} (tan (q)) = sec^{2} (q)

= cos (q) + sec^{2} (q)

What is the d/(dq)((1+sec(q))sin(q)) ?
The d/(dq)((1+sec(q))sin(q)) is cos(q)+sec^2(q)
What is the first d/(dq)((1+sec(q))sin(q)) ?
The first d/(dq)((1+sec(q))sin(q)) is cos(q)+sec^2(q)