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Beliebt Rechnen >

derivative of cos((x^2+6^5))

Lösung

\frac{d}{d x} (cos ((x^{2} + 6)^{5}))

Lösung

- sin ((x^{2} + 6)^{5}) \cdot 10 x (x^{2} + 6)^{4}

Schritte zur Lösung

\frac{d}{d x} (cos ((x^{2} + 6)^{5}))

Wende die Kettenregel an:

- sin ((x^{2} + 6)^{5}) \frac{d}{d x} ((x^{2} + 6)^{5})

= - sin ((x^{2} + 6)^{5}) \frac{d}{d x} ((x^{2} + 6)^{5})

\frac{d}{d x} ((x^{2} + 6)^{5}) = 10 x (x^{2} + 6)^{4}

= - sin ((x^{2} + 6)^{5}) \cdot 10 x (x^{2} + 6)^{4}

Graph

Beliebte Beispiele

derivative of e^xx^2+4e^xx+2e^x

\frac{d}{d x} (e^{x} x^{2} + 4 e^{x} x + 2 e^{x})

integral of 7e^xsqrt(3+e^x)

\int 7 e^{x} 3 + e^{x} d x

integral of r^5

\int r^{5} d r

limit as x approaches 0 of cosh(x)

x \to 0 lim (cosh (x))

(dy)/(dx)=(x/(sqrt(1-6x^2)))

\frac{d y}{d x} = (\frac{x}{1 - 6 x ^{2}})