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人気のある微分積分 >

derivative of (e^x+1^7)

解

\frac{d}{d x} ((e^{x} + 1)^{7})

解

7 (e^{x} + 1)^{6} e^{x}

解答ステップ

\frac{d}{d x} ((e^{x} + 1)^{7})

連鎖法則を適用:

7 (e^{x} + 1)^{6} \frac{d}{d x} (e^{x} + 1)

= 7 (e^{x} + 1)^{6} \frac{d}{d x} (e^{x} + 1)

\frac{d}{d x} (e^{x} + 1) = e^{x}

= 7 (e^{x} + 1)^{6} e^{x}

グラフ

人気の例

integral of (x-3)/(-x^2+4x-5)

\int \frac{x - 3}{- x ^{2} + 4 x - 5} d x

(\partial)/(\partial y)(ye^{xy}-1/y)

\frac{\partial}{\partial y} (y e^{x y} - \frac{1}{y})

derivative of 4x^3-66x^2+216x

\frac{d}{d x} (4 x^{3} - 66 x^{2} + 216 x)

derivative of cos^2(x^3-ln(x^2-1))

\frac{d}{d x} (cos^{2} (x^{3}) - ln (x^{2} - 1))

tangent (x^3)/6-3x^2+((77x))/6-8,\at x=5

t an g e n t \frac{x ^{3}}{6} - 3 x^{2} + \frac{( 77 x )}{6} - 8, at x = 5