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Beliebt Rechnen >

derivative of (tan^2(x-x^2)^3)

Lösung

\frac{d}{d x} ((tan^{2} (x) - x^{2})^{3})

Lösung

3 (tan^{2} (x) - x^{2})^{2} (2 tan (x) sec^{2} (x) - 2 x)

Schritte zur Lösung

\frac{d}{d x} ((tan^{2} (x) - x^{2})^{3})

Wende die Kettenregel an:

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

= 3 (tan^{2} (x) - x^{2})^{2} \frac{d}{d x} (tan^{2} (x) - x^{2})

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

= 3 (tan^{2} (x) - x^{2})^{2} (2 tan (x) sec^{2} (x) - 2 x)

Graph

Beliebte Beispiele

integral from 0 to 1 of (1+x)/(1+2x)

\int_{0}^{1} \frac{1 + x}{1 + 2 x} d x

taylor (e^x)/(1+x)

t a y l or \frac{e ^{x}}{1 + x}

(dy)/(dx)+ay+b=0

\frac{d y}{d x} + a y + b = 0

limit as x approaches 3-of (x+3)/2

x \to 3 - lim (\frac{x + 3}{2})

steigung (2,5),(7,3)

s l o p e (2, 5), (7, 3)