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人気のある微分積分 >

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

解

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

解

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

解答ステップ

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

簡素化

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

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

和/差の法則を適用:

(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)

グラフ

人気の例

d/(d{r)}(({g}*(m_{1}*m_{2}))/(({r)^2)})

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

d/(da)(2sin^2(a)cos^2(a))

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

derivative f(x)=x^3sin^2(x)

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

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derivative 4t^2+3t+3

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