(d^2)/(dx^2)(\sqrt[5]{(x^2+8)^4})

Lösung

\frac{d ^{2}}{d x ^{2}} (5 (x^{2} + 8)^{4})

\frac{8 ( 3 x ^{2} + 40 )}{25 ( x ^{2} + 8 ) ^{\frac{6}{5}}}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (5 (x^{2} + 8)^{4})

\frac{d}{d x} (5 (x^{2} + 8)^{4}) = \frac{8 x}{5 ( x ^{2} + 8 ) ^{\frac{1}{5}}}

= \frac{d}{d x} (\frac{8 x}{5 ( x ^{2} + 8 ) ^{\frac{1}{5}}})

\frac{d}{d x} (\frac{8 x}{5 ( x ^{2} + 8 ) ^{\frac{1}{5}}}) = \frac{8 ( 3 x ^{2} + 40 )}{25 ( x ^{2} + 8 ) ^{\frac{6}{5}}}

= \frac{8 ( 3 x ^{2} + 40 )}{25 ( x ^{2} + 8 ) ^{\frac{6}{5}}}

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

(cos (arcsin (x)))^{^{'}}

\int \frac{7}{25 - x ^{2}} d x

d er i v a t i v e 2 x y

d er i v a t i v e f (x) = x^{4} + 4 x^{3} - 48 x^{2} + 6