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Beliebt Rechnen >

implicit (dy)/(dx),y=arccos(4x^2)

Lösung

implizite ableitung

\frac{d y}{d x}, y = arccos (4 x^{2})

Lösung

\frac{d y}{d x} = - \frac{8 x}{1 - 16 x ^{4}}

Schritte zur Lösung

y = arccos (4 x^{2})

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

\frac{d y}{d x} = - \frac{8 x}{1 - 16 x ^{4}}

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{8 x}{1 - 16 x ^{4}}

\frac{d y}{d x} = - \frac{8 x}{1 - 16 x ^{4}}

Beliebte Beispiele

integral of 3sin(2x)cos(3x)

\int 3 sin (2 x) cos (3 x) d x

integral from 0 to 4 of ((4-x)sqrt(x))

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

(dy)/(dx)=e^{4x}-3y

\frac{d y}{d x} = e^{4 x} - 3 y

limit as x approaches infinity of x^2y^2

x \to \infty lim (x^{2} y^{2})

derivative f(x)=(3x-9)/(2x+8)

d er i v a t i v e f (x) = \frac{3 x - 9}{2 x + 8}