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Beliebt Rechnen >

derivative y=cos(sin(x^2))

Lösung

ableitung von

y = cos (sin (x^{2}))

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

limit as x approaches 0+of ln(x)*0

x \to 0 + lim (ln (x) \cdot 0)

integral of x/(x-8)

\int \frac{x}{x - 8} d x

y^{''}-2y^'+9y=0

y^{^{''}} - 2 y^{^{'}} + 9 y = 0

(\partial)/(\partial x)(e^{xy}+y/x)

\frac{\partial}{\partial x} (e^{x y} + \frac{y}{x})

derivative g(x)= 9/(x^3)

d er i v a t i v e g (x) = \frac{9}{x ^{3}}