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Beliebt Rechnen >

derivative f(x)=x^2tan(x)

Lösung

ableitung von

f (x) = x^{2} tan (x)

Lösung

2 x tan (x) + sec^{2} (x) x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{2} tan (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = tan (x)

= \frac{d}{d x} (x^{2}) tan (x) + \frac{d}{d x} (tan (x)) x^{2}

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= 2 x tan (x) + sec^{2} (x) x^{2}

Graph

Beliebte Beispiele

integral of 1/(x^2+x-1)

\int \frac{1}{x ^{2} + x - 1} d x

integral from 1 to 4 of 4/(x^2+4x+4)

\int_{1}^{4} \frac{4}{x ^{2} + 4 x + 4} d x

limit as x approaches 0 of-2

x \to 0 lim (- 2)

integral of xIn(x)

\int x I n (x) d x

derivative of (2000x/(4x+75))

\frac{d}{d x} (\frac{2000 x}{4 x + 75})