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受欢迎的微积分 >

derivative tan(x)-sin(x)

解答

导数

tan (x) - sin (x)

解答

sec^{2} (x) - cos (x)

求解步骤

\frac{d}{d x} (tan (x) - sin (x))

使用微分加减法定则:

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

= \frac{d}{d x} (tan (x)) - \frac{d}{d x} (sin (x))

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

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

= sec^{2} (x) - cos (x)

作图

流行的例子

(\partial)/(\partial x)(ln(x+8y+7z))

integral of (1/(t^2)+sqrt(t))

integral of (7/x-3/(x^2))

integral of (3x^5-8)^96x^4

y^'=(xy^3)/((1+x^2)^{1/2)}