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Beliebt Rechnen >

derivative of sqrt(1+tan(x))

Lösung

\frac{d}{d x} (1 + tan (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (1 + tan (x))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative f(X)=\sqrt[4]{X^3}-1

d er i v a t i v e f (X) = 4 X^{3} - 1

integral of t^n

\int t^{n} d t

integral of 1/((3-5x)^4)

\int \frac{1}{( 3 - 5 x ) ^{4}} d x

integral of sqrt(12-4x)

\int 12 - 4 x d x

derivative 6x-4

d er i v a t i v e 6 x - 4