derivative of tan(x+cos^2(x)+sin^2(x)-3)

Lösung

\frac{d}{d x} (tan (x) + cos^{2} (x) + sin^{2} (x) - 3)

sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (tan (x) + cos^{2} (x) + sin^{2} (x) - 3)

Vereinfache

tan (x) + cos^{2} (x) + sin^{2} (x) - 3 : tan (x) - 2

= \frac{d}{d x} (tan (x) - 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (tan (x)) - \frac{d}{d x} (2)

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

\frac{d}{d x} (2) = 0

= sec^{2} (x) - 0

Vereinfache

= sec^{2} (x)

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

d er i v a t i v e y = x^{3} - 9 x^{2} + 24 x - 15

a re a y = e^{x}, y = e^{- x}, [- 2, 1]

\frac{d}{d x} (\frac{( x ^{3} )}{3} + \frac{1}{4 x})

t an g e n t f (x) = 2 x^{3}, (1, 2)