d/(dt)(tan(sqrt(5t)))

解答

\frac{d}{d t} (tan (5 t))

\frac{5 sec ^{2} ( 5 t )}{2 t}

求解步骤

\frac{d}{d t} (tan (5 t))

化简

tan (5 t) : tan (5 t)

= \frac{d}{d t} (tan (5 t))

使用连锁律:

sec^{2} (5 t) \frac{d}{d t} (5 t)

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

\frac{d}{d t} (5 t) = \frac{5}{2 t}

= sec^{2} (5 t) \frac{5}{2 t}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 sec ^{2} ( 5 t )}{2 t}

t an g e n t y = - 6 x^{2} + 4

x \to 0 + lim (ln (x) x)

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

x \to + 7 lim (2 cos (x))

\frac{d}{d x} (2 x^{2} + 4 x + 7)