derivative sin(sqrt(x^2))

解答

导数

sin (x^{2})

\frac{x cos ( x ^{2} )}{∣ x ∣}

求解步骤

\frac{d}{d x} (sin (x^{2}))

使用连锁律:

cos (x^{2}) \frac{d}{d x} (x^{2})

= cos (x^{2}) \frac{d}{d x} (x^{2})

\frac{d}{d x} (x^{2}) = \frac{x}{∣ x ∣}

= cos (x^{2}) \frac{x}{∣ x ∣}

分式相乘:

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

= \frac{x cos ( x ^{2} )}{∣ x ∣}

d er i v a t i v e f (s) = 8^{2 s - 1}

x \to \infty lim (- \frac{5}{x})

\frac{d}{d x} (\frac{x - 7}{x - 7})

\frac{d}{d x} (g (h, x) (h (x)))

\int_{0}^{2} x e^{4 x} d x