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Beliebt Rechnen >

derivative 6+sec(x)sin(x)

Lösung

ableitung von

6 + sec (x) sin (x)

Lösung

sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (6 + sec (x) sin (x))

Vereinfache

6 + sec (x) sin (x) : 6 + tan (x)

= \frac{d}{d x} (6 + tan (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6) + \frac{d}{d x} (tan (x))

\frac{d}{d x} (6) = 0

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

= 0 + sec^{2} (x)

Vereinfache

= sec^{2} (x)

Graph

Beliebte Beispiele

derivative 2x^2+2x

d er i v a t i v e 2 x^{2} + 2 x

sum from n=1 to infinity of (2^n)/(n+1)

n = 1 \sum \infty \frac{2 ^{n}}{n + 1}

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d er i v a t i v e \frac{x}{x ^{- 1} + 13}

integral of 6xsqrt(1+3x^2)

\int 6 x 1 + 3 x^{2} d x

derivative of 7/(e^x)

\frac{d}{d x} (\frac{7}{e ^{x}})