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Beliebt Rechnen >

derivative of sqrt(cos(4x))

Lösung

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

Lösung

- 2 sin (4 x) sec (4 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 cos ( 4 x )} \frac{d}{d x} (cos (4 x))

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

\frac{d}{d x} (cos (4 x)) = - sin (4 x) \cdot 4

= \frac{1}{2 cos ( 4 x )} (- sin (4 x) \cdot 4)

Vereinfache

\frac{1}{2 cos ( 4 x )} (- sin (4 x) \cdot 4) : - 2 sin (4 x) sec (4 x)

= - 2 sin (4 x) sec (4 x)

Graph

Beliebte Beispiele

integral of 2/(3x+5)

\int \frac{2}{3 x + 5} d x

integral from 0 to 4 of x(0.5-0.125x)

\int_{0}^{4} x (0.5 - 0.125 x) d x

y^{^{''}} = 2

(\partial)/(\partial x)(K(x)^{1/3}L^{2/3})

\frac{\partial}{\partial x} (K (x)^{\frac{1}{3}} L^{\frac{2}{3}})

(d^2)/(dx^2)(x(2x+1)^4)

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