(d^4)/(dx^4)(1/(3x+1))

Lösung

\frac{d ^{4}}{d x ^{4}} (\frac{1}{3 x + 1})

\frac{1944}{( 3 x + 1 ) ^{5}}

Schritte zur Lösung

\frac{d ^{4}}{d x ^{4}} (\frac{1}{3 x + 1})

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

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

\frac{d}{d x} (- \frac{3}{( 3 x + 1 ) ^{2}}) = \frac{18}{( 3 x + 1 ) ^{3}}

= \frac{d ^{2}}{d x ^{2}} (\frac{18}{( 3 x + 1 ) ^{3}})

\frac{d}{d x} (\frac{18}{( 3 x + 1 ) ^{3}}) = - \frac{162}{( 3 x + 1 ) ^{4}}

= \frac{d}{d x} (- \frac{162}{( 3 x + 1 ) ^{4}})

\frac{d}{d x} (- \frac{162}{( 3 x + 1 ) ^{4}}) = \frac{1944}{( 3 x + 1 ) ^{5}}

= \frac{1944}{( 3 x + 1 ) ^{5}}

\int 2 x^{3} + 4 x + 5 d x

x \to π lim (sin (\frac{11}{6}))

d er i v a t i v e \frac{1}{8} x^{4} - \frac{32}{x ^{3}}

\int_{- 4 π}^{4 π} (sin^{2} (x) + 1) d x

a re a x^{3} - 11 x^{2} + 28 x, - x^{3} + 11 x^{2} - 28 x