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人気のある微分積分 >

(\partial)/(\partial x)(2+3xsqrt(y))

解

\frac{\partial}{\partial x} (2 + 3 x y)

解

3 y

解答ステップ

\frac{\partial}{\partial x} (2 + 3 x y)

y

を定数として扱う

和/差の法則を適用:

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

= \frac{\partial}{\partial x} (2) + \frac{\partial}{\partial x} (3 x y)

\frac{\partial}{\partial x} (2) = 0

\frac{\partial}{\partial x} (3 x y) = 3 y

= 0 + 3 y

簡素化

= 3 y

人気の例

sum from n=0 to infinity of (4x^2)^n

n = 0 \sum \infty (4 x^{2})^{n}

limit as x approaches pi of 9sin(sin(x))

x \to π lim (9 sin (sin (x)))

integral of 4/(x+2)

\int \frac{4}{x + 2} d x

y^{''}-4y^'-5y=0,y(0)=3,y^'(0)=9

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 3, y^{^{'}} (0) = 9

derivative of 100(y-x^2^2+(1-x)^2)

\frac{d}{d x} (100 (y - x^{2})^{2} + (1 - x)^{2})