d/(dy)((x)(tan(x)))

解答

\frac{d}{d y} ((y) (tan (y)))

tan (y) + y sec^{2} (y)

求解步骤

\frac{d}{d y} ((y) (tan (y)))

使用微分乘法定则:

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

f = y, g = tan (y)

= \frac{d y}{d y} tan (y) + \frac{d}{d y} (tan (y)) y

\frac{d y}{d y} = 1

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

= 1 \cdot tan (y) + sec^{2} (y) y

化简

= tan (y) + y sec^{2} (y)

f a c t or 6^{2} - 11 x + 4

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f a c t or e^{3} - 8

f a c t or ab - 2 b + a d - 2 d