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人気のある微分積分 >

derivative of sin(x-e^x)

解

\frac{d}{d x} (sin (x) - e^{x})

解

cos (x) - e^{x}

解答ステップ

\frac{d}{d x} (sin (x) - e^{x})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (sin (x)) = cos (x)

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

= cos (x) - e^{x}

グラフ

人気の例

y^{''}+2y^'+2y=sin(2t),y(0)=0,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (2 t), y (0) = 0, y^{^{'}} (0) = 0

d/(dr(d))([sqrt((12.61)/(0.45))(84.4)]r(d)ad)

\frac{d}{d r ( d )} ([\frac{12.61}{0.45} (84.4)] r (d) a d)

integral from-2 to 1 of (1-2x)

\int_{- 2}^{1} (1 - 2 x) d x

integral of ((tan(x)+sin(x)))/(sec(x))

\int \frac{( tan ( x ) + sin ( x ) )}{sec ( x )} d x

integral of (4+x^6)^6x^5

\int (4 + x^{6})^{6} x^{5} d x