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Beliebt Rechnen >

derivative of 2cos(x^2)

Lösung

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

Lösung

- 4 x sin (x^{2})

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 2 (- sin (x^{2}) \cdot 2 x)

Vereinfache

= - 4 x sin (x^{2})

Graph

Beliebte Beispiele

limit as x approaches 2-of (2x+1)/(x-2)

x \to 2 - lim (\frac{2 x + 1}{x - 2})

derivative of x^2tanh(1/x)

\frac{d}{d x} (x^{2} tanh (\frac{1}{x}))

derivative ((10y^3-9y^2+6y-10))/((2y+3))

d er i v a t i v e \frac{( 10 y ^{3} - 9 y ^{2} + 6 y - 10 )}{( 2 y + 3 )}

5x^{''}+20x^'+20x=28

5 x^{^{''}} + 20 x^{^{'}} + 20 x = 28

integral of sin^3(x)*cos^2(x)

\int sin^{3} (x) \cdot cos^{2} (x) d x