(d^{10})/(dx^{10)}(x^{10})

解

\frac{d ^{10}}{d x ^{10}} (x^{10})

3628800

解答ステップ

\frac{d ^{10}}{d x ^{10}} (x^{10})

\frac{d}{d x} (x^{10}) = 10 x^{9}

= \frac{d ^{9}}{d x ^{9}} (10 x^{9})

\frac{d}{d x} (10 x^{9}) = 90 x^{8}

= \frac{d ^{8}}{d x ^{8}} (90 x^{8})

\frac{d}{d x} (90 x^{8}) = 720 x^{7}

= \frac{d ^{7}}{d x ^{7}} (720 x^{7})

\frac{d}{d x} (720 x^{7}) = 5040 x^{6}

= \frac{d ^{6}}{d x ^{6}} (5040 x^{6})

\frac{d}{d x} (5040 x^{6}) = 30240 x^{5}

= \frac{d ^{5}}{d x ^{5}} (30240 x^{5})

\frac{d}{d x} (30240 x^{5}) = 151200 x^{4}

= \frac{d ^{4}}{d x ^{4}} (151200 x^{4})

\frac{d}{d x} (151200 x^{4}) = 604800 x^{3}

= \frac{d ^{3}}{d x ^{3}} (604800 x^{3})

\frac{d}{d x} (604800 x^{3}) = 1814400 x^{2}

= \frac{d ^{2}}{d x ^{2}} (1814400 x^{2})

\frac{d}{d x} (1814400 x^{2}) = 3628800 x

= \frac{d}{d x} (3628800 x)

\frac{d}{d x} (3628800 x) = 3628800

= 3628800