derivative tan^4(x^3)

解答

导数

tan^{4} (x^{3})

12 x^{2} tan^{3} (x^{3}) sec^{2} (x^{3})

求解步骤

\frac{d}{d x} (tan^{4} (x^{3}))

使用连锁律:

4 (tan (x^{3}))^{3} \frac{d}{d x} (tan (x^{3}))

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

\frac{d}{d x} (tan (x^{3})) = sec^{2} (x^{3}) \cdot 3 x^{2}

= 4 (tan (x^{3}))^{3} sec^{2} (x^{3}) \cdot 3 x^{2}

化简

= 12 x^{2} tan^{3} (x^{3}) sec^{2} (x^{3})

a re a f (x) = x^{2}, x = 5

f (x) = \frac{sin ( x )}{1 + 2 cos ( x )}

y^{^{'}} = y - 2

\frac{\partial}{\partial x} (x ln (z^{7} + x^{3}))

d er i v a t i v e y = \frac{1}{2 x - 2}