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Beliebt Rechnen >

(\partial)/(\partial x)(e^{2x}-xcos(t))

Lösung

\frac{\partial}{\partial x} (e^{2 x} - x cos (t))

Lösung

e^{2 x} \cdot 2 - cos (t)

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{2 x} - x cos (t))

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (x cos (t)) = cos (t)

= e^{2 x} \cdot 2 - cos (t)

Beliebte Beispiele

derivative f(x)= 1/(x^2)

d er i v a t i v e f (x) = \frac{1}{x ^{2}}

derivative of x^3-3x^2+4

\frac{d}{d x} (x^{3} - 3 x^{2} + 4)

integral of 1/(csc(5x)sqrt(cos(5x)))

\int \frac{1}{csc ( 5 x ) cos ( 5 x )} d x

derivative of e^{2x+y}

\frac{d}{d x} (e^{2 x + y})

integral of (x^4-5e^{-2x})

\int (x^{4} - 5 e^{- 2 x}) d x