derivative of (x*sinh(x+cos(x))^5)

Lösung

\frac{d}{d x} ((x \cdot sinh (x) + cos (x))^{5})

5 (x sinh (x) + cos (x))^{4} (sinh (x) + x cosh (x) - sin (x))

Schritte zur Lösung

\frac{d}{d x} ((x sinh (x) + cos (x))^{5})

Wende die Kettenregel an:

5 (x sinh (x) + cos (x))^{4} \frac{d}{d x} (x sinh (x) + cos (x))

= 5 (x sinh (x) + cos (x))^{4} \frac{d}{d x} (x sinh (x) + cos (x))

\frac{d}{d x} (x sinh (x) + cos (x)) = sinh (x) + x cosh (x) - sin (x)

= 5 (x sinh (x) + cos (x))^{4} (sinh (x) + x cosh (x) - sin (x))

\frac{d}{d x} (\frac{x + 6}{x ^{3} + x - 8})

d er i v a t i v e x^{2} - 2 x - 1

in v erse l a pl a ce \frac{( s + 4 )}{s ^{2} + 4 s + 29}

\int 1

d er i v a t i v e 4 sec^{2} (x) - 6 sec^{4} (x)