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人気のある微分積分 >

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

解

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

解

e^{x^{7}} \cdot 7 x^{6}

解答ステップ

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

連鎖法則を適用:

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

= e^{x^{7}} \frac{\partial}{\partial x} (x^{7})

\frac{\partial}{\partial x} (x^{7}) = 7 x^{6}

= e^{x^{7}} \cdot 7 x^{6}

人気の例

(\partial)/(\partial x)(e^{x^3})

\frac{\partial}{\partial x} (e^{x^{3}})

y^'-1/2 y=(5x-5)y^{-1},y(0)=4

y^{^{'}} - \frac{1}{2} y = (5 x - 5) y^{- 1}, y (0) = 4

integral of (x^5)/(1-x^4)

\int \frac{x ^{5}}{1 - x ^{4}} d x

integral of (5x+5)(x-4)(x-4)

\int (5 x + 5) (x - 4) (x - 4) d x

integral of 9t^2+1/(sqrt(t^3))

\int 9 t^{2} + \frac{1}{t ^{3}} d t