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人気のある微分積分 >

derivative of e^xtan(x)

解

\frac{d}{d x} (e^{x} tan (x))

解

e^{x} tan (x) + sec^{2} (x) e^{x}

解答ステップ

\frac{d}{d x} (e^{x} tan (x))

積の法則を適用:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = tan (x)

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

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= e^{x} tan (x) + sec^{2} (x) e^{x}

グラフ

人気の例

limit as x approaches 0+of x^{sin(3x)}

x \to 0 + lim (x^{s i n (3 x)})

integral of (1-cos(t/2))^2sin(t/2)

\int (1 - cos (\frac{t}{2}))^{2} sin (\frac{t}{2}) d t

integral of 2xe^{2x^2}

\int 2 x e^{2 x^{2}} d x

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

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

y^{''}-10y^'+25=0

y^{^{''}} - 10 y^{^{'}} + 25 = 0