derivative f(x)=sqrt(5x^6-12)

解答

导数

f (x) = 5 x^{6} - 12

\frac{15 x ^{5}}{5 x ^{6} - 12}

求解步骤

\frac{d}{d x} (5 x^{6} - 12)

使用连锁律:

\frac{1}{2 5 x ^{6} - 12} \frac{d}{d x} (5 x^{6} - 12)

= \frac{1}{2 5 x ^{6} - 12} \frac{d}{d x} (5 x^{6} - 12)

\frac{d}{d x} (5 x^{6} - 12) = 30 x^{5}

= \frac{1}{2 5 x ^{6} - 12} \cdot 30 x^{5}

化简

\frac{1}{2 5 x ^{6} - 12} \cdot 30 x^{5} : \frac{15 x ^{5}}{5 x ^{6} - 12}

= \frac{15 x ^{5}}{5 x ^{6} - 12}

d er i v a t i v e y = e^{2 x}

d er i v a t i v e f (x) = 3 x + 2

in t e g r a l \frac{1}{x}

f = sin (1)

p o l a r (3, 1)