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Beliebt Rechnen >

derivative of tan(sqrt(x^2-1))

Lösung

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

Lösung

\frac{x sec ^{2} ( x ^{2} - 1 )}{x ^{2} - 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= sec^{2} (x^{2} - 1) \frac{x}{x ^{2} - 1}

Multipliziere Brüche:

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

= \frac{x sec ^{2} ( x ^{2} - 1 )}{x ^{2} - 1}

Graph

Beliebte Beispiele

y^{''}-y^'-20y=0

y^{^{''}} - y^{^{'}} - 20 y = 0

(d^2)/(dx^2)(3x-4x^{9/10})

\frac{d ^{2}}{d x ^{2}} (3 x - 4 x^{\frac{9}{10}})

implicit (dy)/(dx),e^y=x+y

im pl i c i t \frac{d y}{d x}, e^{y} = x + y

sum from n=2 to infinity of (-0.75)^n

n = 2 \sum \infty (- 0.75)^{n}

taylor 1/(x^2)0

t a y l or \frac{1}{x ^{2}} 0