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Beliebt Rechnen >

derivative cos^2(x)-sin^2(x)

Lösung

ableitung von

cos^{2} (x) - sin^{2} (x)

Lösung

- sin (2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (x) - sin^{2} (x))

Vereinfache

cos^{2} (x) - sin^{2} (x) : cos (2 x)

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

Wende die Kettenregel an:

- sin (2 x) \frac{d}{d x} (2 x)

= - sin (2 x) \frac{d}{d x} (2 x)

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

= - sin (2 x) \cdot 2

Graph

Beliebte Beispiele

y^'+(3y)/x = 2/x

y^{^{'}} + \frac{3 y}{x} = \frac{2}{x}

integral from 0 to pi of 15sin^2(2x)

\int_{0}^{π} 15 sin^{2} (2 x) d x

tangent f(x)=-1/2 x^2-2x+3,\at x=0

t an g e n t f (x) = - \frac{1}{2} x^{2} - 2 x + 3, at x = 0

f (t) = t - sin (t)

d/(dy)((t^2)/(4y^4))

\frac{d}{d y} (\frac{t ^{2}}{4 y ^{4}})