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Beliebt Rechnen >

derivative of e^{|x|}

Lösung

\frac{d}{d x} (e^{∣ x ∣})

Lösung

\frac{e ^{∣ x ∣} x}{∣ x ∣}

Schritte zur Lösung

\frac{d}{d x} (e^{∣ x ∣})

Wende die Kettenregel an:

e^{∣ x ∣} \frac{d}{d x} (∣ x ∣)

= e^{∣ x ∣} \frac{d}{d x} (∣ x ∣)

\frac{d}{d x} (∣ x ∣) = \frac{x}{∣ x ∣}

= e^{∣ x ∣} \frac{x}{∣ x ∣}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e ^{∣ x ∣} x}{∣ x ∣}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(cos(x+2y))

\frac{\partial}{\partial x} (cos (x + 2 y))

tangent y=(x^3-9x)^8,(3,0)

t an g e n t y = (x^{3} - 9 x)^{8}, (3, 0)

x^2y^{''}-2xy^'+2y=x^2+2

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = x^{2} + 2

derivative of (0.9e^x/(tan(x)))

\frac{d}{d x} (\frac{0.9 e ^{x}}{tan ( x )})

(x^{\frac{1}{3}})^{^{'}}