de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative x^2sec(x)

Lösung

ableitung von

x^{2} sec (x)

Lösung

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

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

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

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

Graph

Beliebte Beispiele

derivative x*sin(3y)+x*e^{y/x}

d er i v a t i v e x \cdot sin (3 y) + x \cdot e^{\frac{y}{x}}

derivative y=(x+2)/(x^2)

d er i v a t i v e y = \frac{x + 2}{x ^{2}}

derivative 1/((s+3)^2)

d er i v a t i v e \frac{1}{( s + 3 ) ^{2}}

derivative 2x^3-24x^1-35

d er i v a t i v e 2 x^{3} - 24 x^{1} - 35

derivative 4x^3+5

d er i v a t i v e 4 x^{3} + 5