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Beliebt Rechnen >

derivative of cos((1-x^2^2))

Lösung

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

Lösung

4 x sin ((1 - x^{2})^{2}) (1 - x^{2})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} ((1 - x^{2})^{2}) = - 4 x (1 - x^{2})

= - sin ((1 - x^{2})^{2}) (- 4 x (1 - x^{2}))

Vereinfache

= 4 x sin ((1 - x^{2})^{2}) (1 - x^{2})

Graph

Beliebte Beispiele

fläche y=x^2,y=4-x^2

a re a y = x^{2}, y = 4 - x^{2}

derivative of x/(5+x)

\frac{d}{d x} (\frac{x}{5 + x})

limit as x approaches 0 of (2-2cos(x))/(e^x-x-1)

x \to 0 lim (\frac{2 - 2 cos ( x )}{e ^{x} - x - 1})

integral of ((ln(x)))/(x^2)

\int \frac{( ln ( x ) )}{x ^{2}} d x

(\partial)/(\partial x)(x^8y^6-x^7y^5)

\frac{\partial}{\partial x} (x^{8} y^{6} - x^{7} y^{5})