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Beliebt Rechnen >

derivative of e^{{p}(t,xt}*cos(nt))

Lösung

\frac{d}{d x} (e^{p (t, x) t} \cdot cos (n t))

Lösung

cos (n t) e^{p (t, x) t} t \frac{d}{d x} (p (t, x))

Schritte zur Lösung

\frac{d}{d x} (e^{p (t, x) t} cos (n t))

Behandle

n, t

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (n t) \frac{d}{d x} (e^{p (t, x) t})

Wende die Kettenregel an:

e^{p (t, x) t} \frac{d}{d x} (p (t, x) t)

= e^{p (t, x) t} \frac{d}{d x} (p (t, x) t)

\frac{d}{d x} (p (t, x) t) = t \frac{d}{d x} (p (t, x))

= cos (n t) e^{p (t, x) t} t \frac{d}{d x} (p (t, x))

Beliebte Beispiele

(\partial)/(\partial x)(sqrt(6-x^2+2y^2))

\frac{\partial}{\partial x} (6 - x^{2} + 2 y^{2})

derivative of Ax^2

\frac{d}{d x} (A x^{2})

integral of (x+3)/(x^2-2x-3)

\int \frac{x + 3}{x ^{2} - 2 x - 3} d x

integral of f(x+b)

\int f (x + b) d x

derivative sqrt(x+2)

d er i v a t i v e x + 2