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人気のある微分積分 >

(\partial)/(\partial x)(cos(z)+xy^2)

解

\frac{\partial}{\partial x} (cos (z) + x y^{2})

解

y^{2}

解答ステップ

\frac{\partial}{\partial x} (cos (z) + x y^{2})

z, 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} (cos (z)) + \frac{\partial}{\partial x} (x y^{2})

\frac{\partial}{\partial x} (cos (z)) = 0

\frac{\partial}{\partial x} (x y^{2}) = y^{2}

= 0 + y^{2}

簡素化

= y^{2}

人気の例

tangent f(x)= 1/(4x^{3/2)},\at x=4

t an g e n t f (x) = \frac{1}{4 x ^{\frac{3}{2}}}, at x = 4

(dy)/(dx)=6x^2y

\frac{d y}{d x} = 6 x^{2} y

sum from n=1 to infinity of ne^{-8n}

n = 1 \sum \infty n e^{- 8 n}

integral of 1/(x^2)ln(x)

\int \frac{1}{x ^{2}} ln (x) d x

d/(dy)((ln(y))/(2sqrt(y))+1/(sqrt(y)))

\frac{d}{d y} (\frac{ln ( y )}{2 y} + \frac{1}{y})