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Beliebt Rechnen >

derivative f(x)=sin(7ln(x))

Lösung

ableitung von

f (x) = sin (7 ln (x))

Lösung

\frac{7 cos ( 7 ln ( x ) )}{x}

Schritte zur Lösung

\frac{d}{d x} (sin (7 ln (x)))

Wende die Kettenregel an:

cos (7 ln (x)) \frac{d}{d x} (7 ln (x))

= cos (7 ln (x)) \frac{d}{d x} (7 ln (x))

\frac{d}{d x} (7 ln (x)) = \frac{7}{x}

= cos (7 ln (x)) \frac{7}{x}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{7 cos ( 7 ln ( x ) )}{x}

Graph

Beliebte Beispiele

xy^'=y+x^2sin(x),y(pi/2)=0

x y^{^{'}} = y + x^{2} sin (x), y (\frac{π}{2}) = 0

sum from n=0 to infinity of (x+3)^n

n = 0 \sum \infty (x + 3)^{n}

integral from 0 to pi/2 of 6sin^2(3x)

\int_{0}^{\frac{π}{2}} 6 sin^{2} (3 x) d x

x*(dy)/(dx)-y=sqrt(x^2+y^2)

x \cdot \frac{d y}{d x} - y = x^{2} + y^{2}

derivative of 64sin(4x)

\frac{d}{d x} (64 sin (4 x))