d/(dq)((1+sec(q))sin(q))

解答

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

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

求解步骤

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

化简

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

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

使用微分加减法定则:

(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)

\frac{d}{d r} (\frac{g \cdot ( m _{1} \cdot m _{2} )}{( r ^{2} )})

\frac{d}{d a} (2 sin^{2} (a) cos^{2} (a))

d er i v a t i v e f (x) = x^{3} sin^{2} (x)

d er i v a t i v e e^{3 x} \cdot sin (ln (x))

d er i v a t i v e 4 t^{2} + 3 t + 3