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Beliebt Rechnen >

derivative sin(ln(cos(t)))

Lösung

ableitung von

sin (ln (cos (t)))

Lösung

- cos (ln (cos (t))) tan (t)

Schritte zur Lösung

\frac{d}{d t} (sin (ln (cos (t))))

Wende die Kettenregel an:

cos (ln (cos (t))) \frac{d}{d t} (ln (cos (t)))

= cos (ln (cos (t))) \frac{d}{d t} (ln (cos (t)))

\frac{d}{d t} (ln (cos (t))) = - tan (t)

= cos (ln (cos (t))) (- tan (t))

Vereinfache

= - cos (ln (cos (t))) tan (t)

Graph

Beliebte Beispiele

integral of x^2sqrt(6x+6)

\int x^{2} 6 x + 6 d x

(2x^3-x^2y)+(2x^2y-x^3)y^'=0

(2 x^{3} - x^{2} y) + (2 x^{2} y - x^{3}) y^{^{'}} = 0

derivative of arctan((x+y/(1-xy)))

\frac{d}{d x} (arctan (\frac{x + y}{1 - x y}))

derivative of 4x-4

\frac{d}{d x} (4 x - 4)

(\partial)/(\partial y)(3x^2(5x+7y))

\frac{\partial}{\partial y} (3 x^{2} (5 x + 7 y))