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Beliebt Rechnen >

implicit (dy)/(dx),y=(sin(x))^{6x}

Lösung

implizite ableitung

\frac{d y}{d x}, y = (sin (x))^{6 x}

Lösung

\frac{d y}{d x} = 6 sin^{6 x} (x) (ln (sin (x)) + x cot (x))

Schritte zur Lösung

y = (sin (x))^{6 x}

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

\frac{d y}{d x} = 6 sin^{6 x} (x) (ln (sin (x)) + x cot (x))

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = 6 sin^{6 x} (x) (ln (sin (x)) + x cot (x))

\frac{d y}{d x} = 6 sin^{6 x} (x) (ln (sin (x)) + x cot (x))

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(\partial)/(\partial x)(x^2+y^2-9)

\frac{\partial}{\partial x} (x^{2} + y^{2} - 9)

integral of sec^2(2xta)n^62x

\int sec^{2} (2 x t a) n^{6} 2 x d x

derivative of 3/x+e^{2x}*2

\frac{d}{d x} (\frac{3}{x} + e^{2 x} \cdot 2)

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sum from n=0 to infinity of (n+1)/3

n = 0 \sum \infty \frac{n + 1}{3}