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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

sec^{2} (2 x^{2} - x + 3) (4 x - 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x^{2} - x + 3) = 4 x - 1

= sec^{2} (2 x^{2} - x + 3) (4 x - 1)

Graph

Beliebte Beispiele

derivative y=9sec(1/3 x)

d er i v a t i v e y = 9 sec (\frac{1}{3} x)

f (x) = 2 x ln (x) + x

integral of ((5-10x^2)/(4x^3-6x+15))

\int (\frac{5 - 10 x ^{2}}{4 x ^{3} - 6 x + 15}) d x

derivative f(x)=xsqrt(x^2+21)

d er i v a t i v e f (x) = x x^{2} + 21

limit as x approaches infinity of 1+4x

x \to \infty lim (1 + 4 x)