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Beliebt Rechnen >

derivative of cos^2(pix)

Lösung

\frac{d}{d x} (cos^{2} (π x))

Lösung

- π sin (2 π x)

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (π x))

Wende die Kettenregel an:

2 cos (π x) \frac{d}{d x} (cos (π x))

= 2 cos (π x) \frac{d}{d x} (cos (π x))

\frac{d}{d x} (cos (π x)) = - sin (π x) π

= 2 cos (π x) (- sin (π x) π)

Vereinfache

2 cos (π x) (- sin (π x) π) : - π sin (2 π x)

= - π sin (2 π x)

Graph

Beliebte Beispiele

integral from 0 to 1 of-(5y)/(e^{2y)}

\int_{0}^{1} - \frac{5 y}{e ^{2 y}} d y

fläche-x^3+x,x=-1,y=-1/2

a re a - x^{3} + x, x = - 1, y = - \frac{1}{2}

(dy)/(dt)=-y/t-7

\frac{d y}{d t} = - \frac{y}{t} - 7

derivative of 2/((1-x^3))

\frac{d}{d x} (\frac{2}{( 1 - x ) ^{3}})

(\partial)/(\partial x)(z*log_{e}(x^2+y^2))

\frac{\partial}{\partial x} (z \cdot lo g_{e} (x^{2} + y^{2}))