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Beliebt Rechnen >

derivative of 5sin(pix)

Lösung

\frac{d}{d x} (5 sin (π x))

Lösung

5 cos (π x) π

Schritte zur Lösung

\frac{d}{d x} (5 sin (π x))

Entferne die Konstante:

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

= 5 \frac{d}{d x} (sin (π x))

Wende die Kettenregel an:

cos (π x) \frac{d}{d x} (π x)

= cos (π x) \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= 5 cos (π x) π

Graph

Beliebte Beispiele

derivative of (x^3/3-4x+1)

\frac{d}{d x} (\frac{x ^{3}}{3} - 4 x + 1)

y^{''}-y^'+1/4 y=3+e^{x/2}

y^{^{''}} - y^{^{'}} + \frac{1}{4} y = 3 + e^{\frac{x}{2}}

derivative of sqrt(4x^3+2)

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

integral of 2e^{2x}sec^3(e^{2x})

\int 2 e^{2 x} sec^{3} (e^{2 x}) d x

limit as x approaches 1+of sqrt((x-1)/(x-3))

x \to 1 + lim (\frac{x - 1}{x - 3})