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人気のある微分積分 >

(\partial)/(\partial x)(e^{x/2})

解

\frac{\partial}{\partial x} (e^{\frac{x}{2}})

解

e^{\frac{x}{2}} \frac{1}{2}

解答ステップ

\frac{\partial}{\partial x} (e^{\frac{x}{2}})

連鎖法則を適用:

e^{\frac{x}{2}} \frac{\partial}{\partial x} (\frac{x}{2})

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

\frac{\partial}{\partial x} (\frac{x}{2}) = \frac{1}{2}

= e^{\frac{x}{2}} \frac{1}{2}

人気の例

y^'=sec^2(x)(1-3y),y(pi/4)=0

y^{^{'}} = sec^{2} (x) (1 - 3 y), y (\frac{π}{4}) = 0

tangent f(x)=sqrt(x^2+16),\at x=3

t an g e n t f (x) = x^{2} + 16, at x = 3

integral of sin^3(5x)cot(5x)

\int sin^{3} (5 x) cot (5 x) d x

6 y^{^{''}} + 9 y^{^{'}} = 0

integral of 1/((x^2-2x+1)sqrt(x^2-2x))

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