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人気のある微分積分 >

(\partial)/(\partial s)(e^{s+t})

解

\frac{\partial}{\partial s} (e^{s + t})

解

e^{s + t}

解答ステップ

\frac{\partial}{\partial s} (e^{s + t})

t

を定数として扱う

連鎖法則を適用:

e^{s + t} \frac{\partial}{\partial s} (s + t)

= e^{s + t} \frac{\partial}{\partial s} (s + t)

\frac{\partial}{\partial s} (s + t) = 1

= e^{s + t} \cdot 1

簡素化

= e^{s + t}

人気の例

(\partial)/(\partial x)(5*(y-3)^3*(x-6))

\frac{\partial}{\partial x} (5 \cdot (y - 3)^{3} \cdot (x - 6))

(\partial)/(\partial y)(x^{8y})

\frac{\partial}{\partial y} (x^{8 y})

(\partial)/(\partial s)(t^2)

\frac{\partial}{\partial s} (t^{2})

(\partial)/(\partial x)(x^2-y)

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

(\partial)/(\partial x)(7-e^{xyz})

\frac{\partial}{\partial x} (7 - e^{x yz})