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Beliebt Rechnen >

derivative of sqrt(cos(x+1))

Lösung

\frac{d}{d x} (cos (x) + 1)

Lösung

- \frac{sin ( x )}{2 cos ( x ) + 1}

Schritte zur Lösung

\frac{d}{d x} (cos (x) + 1)

Wende die Kettenregel an:

\frac{1}{2 cos ( x ) + 1} \frac{d}{d x} (cos (x) + 1)

= \frac{1}{2 cos ( x ) + 1} \frac{d}{d x} (cos (x) + 1)

\frac{d}{d x} (cos (x) + 1) = - sin (x)

= \frac{1}{2 cos ( x ) + 1} (- sin (x))

Vereinfache

\frac{1}{2 cos ( x ) + 1} (- sin (x)) : - \frac{sin ( x )}{2 cos ( x ) + 1}

= - \frac{sin ( x )}{2 cos ( x ) + 1}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(5ln(x^5))

\frac{d ^{2}}{d x ^{2}} (5 ln (x^{5}))

integral of ((2x^3+5x^2-2x)/x)

\int (\frac{2 x ^{3} + 5 x ^{2} - 2 x}{x}) d x

fläche sin(x),cos(x)-1

a re a sin (x), cos (x) - 1

integral from 1 to 5 of x^3-10x^2+29x-20

\int_{1}^{5} x^{3} - 10 x^{2} + 29 x - 20 d x

(\partial)/(\partial y)(2x-1)

\frac{\partial}{\partial y} (2 x - 1)