erweitern x^{sin(x)}(cos(x)ln(x)+(sin(x))/x)

Lösung

erweitern

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

x^{s i n (x)} cos (x) ln (x) + x^{s i n (x) - 1} sin (x)

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x^{s i n (x)}, b = cos (x) ln (x), c = \frac{sin ( x )}{x}

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

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

\frac{sin ( x )}{x} x^{s i n (x)} = x^{s i n (x) - 1} sin (x)

= x^{s i n (x)} cos (x) ln (x) + x^{s i n (x) - 1} sin (x)

\frac{d}{d x} (x^{4} - 2 x^{3} - 4 x^{2} - 5 x + 2)

s im pl i f y \frac{1}{2} (- \frac{1}{7} cos (7 x) + cos (x)) + C

s im pl i f y (- p - 50 \cdot p)^{2}

e x p an d A (2, - 3) B (5, - 1)

e x p an d \frac{( 5 x )}{( ( x - 1 ) ( x ^{(2)} + 2 x + 5 ) )}