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Beliebt Rechnen >

derivative of tan(sqrt(5x))

Lösung

\frac{d}{d x} (tan (5 x))

Lösung

\frac{5 sec ^{2} ( 5 x )}{2 x}

Schritte zur Lösung

\frac{d}{d x} (tan (5 x))

Vereinfache

tan (5 x) : tan (5 x)

= \frac{d}{d x} (tan (5 x))

Wende die Kettenregel an:

sec^{2} (5 x) \frac{d}{d x} (5 x)

= sec^{2} (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = \frac{5}{2 x}

= sec^{2} (5 x) \frac{5}{2 x}

Multipliziere Brüche:

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

= \frac{5 sec ^{2} ( 5 x )}{2 x}

Graph

Beliebte Beispiele

limit as x approaches 1 of 3x^3-5x^2+5

x \to 1 lim (3 x^{3} - 5 x^{2} + 5)

integral of (x^2)/(4x^2+1)

\int \frac{x ^{2}}{4 x ^{2} + 1} d x

derivative 7e^{1-x^2}

d er i v a t i v e 7 e^{1 - x^{2}}

integral of ((1+x)/x)^3

\int (\frac{1 + x}{x})^{3} d x

derivative ((sqrt(x)-2))/(sqrt(x)+2)

d er i v a t i v e \frac{( x - 2 )}{x + 2}