derivative of sin^2(x+2^{sin(x)})

Lösung

\frac{d}{d x} (sin^{2} (x) + 2^{s i n (x)})

sin (2 x) + ln (2) \cdot 2^{s i n (x)} cos (x)

Schritte zur Lösung

\frac{d}{d x} (sin^{2} (x) + 2^{s i n (x)})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin^{2} (x)) + \frac{d}{d x} (2^{s i n (x)})

\frac{d}{d x} (sin^{2} (x)) = sin (2 x)

\frac{d}{d x} (2^{s i n (x)}) = ln (2) \cdot 2^{s i n (x)} cos (x)

= sin (2 x) + ln (2) \cdot 2^{s i n (x)} cos (x)

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

\frac{d}{d x} (x^{\frac{1}{3}} y^{\frac{2}{3}})

\frac{d}{d x} (\frac{1}{2} x^{2} - x + \frac{1}{6} x^{3})

\int x^{2} \cdot x d x

\int \frac{x}{( x + 1 ) ( x + 2 ) ( x + 3 ) ^{2}} d x