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Beliebt Rechnen >

derivative of e^{5-3x}

Lösung

\frac{d}{d x} (e^{5 - 3 x})

Lösung

- 3 e^{5 - 3 x}

Schritte zur Lösung

\frac{d}{d x} (e^{5 - 3 x})

Wende die Kettenregel an:

e^{5 - 3 x} \frac{d}{d x} (5 - 3 x)

= e^{5 - 3 x} \frac{d}{d x} (5 - 3 x)

\frac{d}{d x} (5 - 3 x) = - 3

= e^{5 - 3 x} (- 3)

Vereinfache

= - 3 e^{5 - 3 x}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x(1-x^2-y^2))

\frac{\partial}{\partial x} (x (1 - x^{2} - y^{2}))

derivative f(x)=3^{2x^2+3x-1}

d er i v a t i v e f (x) = 3^{2 x^{2} + 3 x - 1}

derivative of 2x^2-x+1

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

tangent f(x)=sqrt(x^2-x+7),\at x=2

t an g e n t f (x) = x^{2} - x + 7, at x = 2

steigung xy-5y^2=4(12.2)

s l o p e x y - 5 y^{2} = 4 (12.2)