derivative tan(x)-1

解答

导数

tan (x) - 1

sec^{2} (x)

求解步骤

\frac{d}{d x} (tan (x) - 1)

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (tan (x)) - \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= sec^{2} (x) - 0

化简

= sec^{2} (x)

3 y + x^{4} \frac{d y}{d x} = 2 x y

d er i v a t i v e y = cot (2) (cos (x))

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

d er i v a t i v e G (t) = \frac{4 t}{t + 1}

t an g e n t f (x) = x^{2} + 5 x, at x = 4