derivative of y=sec(x)+tan(x)

Lösung

\frac{d}{d x} y = sec (x) + tan (x)

y = ln (tan (x) + sec (x)) - ln (cos (x)) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = sec (x) + tan (x)

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int sec (x) + tan (x) d x

\int sec (x) + tan (x) d x = ln (tan (x) + sec (x)) - ln (cos (x)) + c_{1}

y = ln (tan (x) + sec (x)) - ln (cos (x)) + c_{1}

l o n g d i v i s i o n x \to \infty lim (\frac{x}{2})

in t e g r a l sin (θ)

d er i v a t i v e \frac{d}{d x} (csc (x))

d er i v a t i v e \frac{d}{d x} (\frac{1}{( 1 - x )})

seco n dd er i v a t i v e y = cos (x)