derivative x=tan^2(y)

解答

导数

x = tan^{2} (y)

\frac{d y}{d x} = \frac{1}{2 tan ( y ) sec ^{2} ( y )}

求解步骤

x = tan^{2} (y)

将

y

视为

y (x)

对两侧微分:

1 = 2 tan (y) sec^{2} (y) \frac{d y}{d x}

整理

\frac{d y}{d x} : \frac{d y}{d x} = \frac{1}{2 tan ( y ) sec ^{2} ( y )}

\frac{d y}{d x} = \frac{1}{2 tan ( y ) sec ^{2} ( y )}

d er i v a t i v e y^{2} = 40 x

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

d er i v a t i v e x^{y} = x^{3} + 2 sin (x)

d er i v a t i v e 1 - x^{3} = t^{2}

d er i v a t i v e x^{2} - y^{2} = tan (x) y