de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=sqrt(10+tan^2(x))

Lösung

ableitung von

y = 10 + tan^{2} (x)

Lösung

\frac{sec ^{2} ( x ) tan ( x )}{10 + tan ^{2} ( x )}

Schritte zur Lösung

\frac{d}{d x} (10 + tan^{2} (x))

Wende die Kettenregel an:

\frac{1}{2 10 + tan ^{2} ( x )} \frac{d}{d x} (10 + tan^{2} (x))

= \frac{1}{2 10 + tan ^{2} ( x )} \frac{d}{d x} (10 + tan^{2} (x))

\frac{d}{d x} (10 + tan^{2} (x)) = 2 sec^{2} (x) tan (x)

= \frac{1}{2 10 + tan ^{2} ( x )} \cdot 2 sec^{2} (x) tan (x)

Vereinfache

\frac{1}{2 10 + tan ^{2} ( x )} \cdot 2 sec^{2} (x) tan (x) : \frac{sec ^{2} ( x ) tan ( x )}{10 + tan ^{2} ( x )}

= \frac{sec ^{2} ( x ) tan ( x )}{10 + tan ^{2} ( x )}

Graph

Beliebte Beispiele

integral of (sqrt(cot(β)))/(sin^6(β))

\int \frac{cot ( β )}{sin ^{6} ( β )} d β

integral of 1/(1+1/x)

\int \frac{1}{1 + \frac{1}{x}} d x

derivative of 4sqrt(x+2)

\frac{d}{d x} (4 x + 2)

derivative of 8/(3+x^2)

\frac{d}{d x} (\frac{8}{3 + x ^{2}})

integral of x^{1/2}

\int x^{\frac{1}{2}} d x