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Beliebt Rechnen >

derivative tan^{-2}(x)

Lösung

ableitung von

tan^{- 2} (x)

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

- \frac{2}{tan ^{3} ( x )} sec^{2} (x) : - 2 cot^{3} (x) sec^{2} (x)

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

Graph

Beliebte Beispiele

d/(da)(((a-t^2))/((b*sqrt(x))))

\frac{d}{d a} (\frac{( a - t ^{2} )}{( b \cdot x )})

d er i v a t i v e - 12 x

derivative (x^2-x)^3

d er i v a t i v e (x^{2} - x)^{3}

d/(dh)(0.606*h^3+0.27*h^2+0.12*h)

\frac{d}{d h} (0.606 \cdot h^{3} + 0.27 \cdot h^{2} + 0.12 \cdot h)

derivative (2x^2-4x+1)(6x-5)

d er i v a t i v e (2 x^{2} - 4 x + 1) (6 x - 5)