derivative of (x+1^{1/2})

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

d er i v a t i v e y = \frac{t}{( t - 1 ) ^{2}}

x \to 8 lim (3 x)

t an g e n t f (x) = \frac{4}{5 x + 1}, at x = - 1

(ln (sin (x)))^{^{'}}

\int_{3}^{6} (3 x - x)^{2} d x