derivative of tan(5x^4)

解答

\frac{d}{d x} (tan (5 x^{4}))

sec^{2} (5 x^{4}) \cdot 20 x^{3}

求解步骤

\frac{d}{d x} (tan (5 x^{4}))

使用连锁律:

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

= sec^{2} (5 x^{4}) \frac{d}{d x} (5 x^{4})

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= sec^{2} (5 x^{4}) \cdot 20 x^{3}

\int \frac{sin ( θ )}{cos ^{3} ( θ )} d θ

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

\frac{d y}{d x} = 6 x (x - 3)

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

t an g e n t 9 - 4 x, at x = - 1