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Beliebt Rechnen >

derivative of sin(ln(4x^2))

Lösung

\frac{d}{d x} (sin (ln (4) x^{2}))

Lösung

cos (2 ln (2) x^{2}) \cdot 4 ln (2) x

Schritte zur Lösung

\frac{d}{d x} (sin (ln (4) x^{2}))

Vereinfache

sin (ln (4) x^{2}) : sin (2 ln (2) x^{2})

= \frac{d}{d x} (sin (2 ln (2) x^{2}))

Wende die Kettenregel an:

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

= cos (2 ln (2) x^{2}) \frac{d}{d x} (2 ln (2) x^{2})

\frac{d}{d x} (2 ln (2) x^{2}) = 4 ln (2) x

= cos (2 ln (2) x^{2}) \cdot 4 ln (2) x

Graph

Beliebte Beispiele

derivative y=xsqrt(400-x^2)

d er i v a t i v e y = x 400 - x^{2}

derivative of x^5sin(2x)

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

derivative of (x^2(x+1^2)/(sqrt(x-1)))

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

derivative 6sqrt(4x^2+5)

d er i v a t i v e 6 4 x^{2} + 5

derivative of e^{y-ln(x})

\frac{d}{d x} (e^{y - l n (x)})