derivative of ln(sqrt(h(x^2)))

解答

\frac{d}{d x} (ln (h (x^{2})))

\frac{1}{∣ x ∣}

求解步骤

\frac{d}{d x} (ln (h (x^{2})))

化简

ln (h (x^{2})) : ln (h x^{2})

= \frac{d}{d x} (ln (h x^{2}))

将

h

视为常数

使用连锁律:

\frac{1}{h x ^{2}} \frac{d}{d x} (h x^{2})

= \frac{1}{h x ^{2}} \frac{d}{d x} (h x^{2})

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

= \frac{1}{h x ^{2}} \cdot \frac{h x}{∣ x ∣}

化简

\frac{1}{h x ^{2}} \cdot \frac{h x}{∣ x ∣} : \frac{1}{∣ x ∣}

= \frac{1}{∣ x ∣}

\int t sin (7 t) d t

\int \frac{2 - x}{x ^{2} + 2 x - 3} d x

\int x 3 x + 2 d x

x d x + y e^{- x} d y = 0, y^{0} = 1

\int cos (5 x) cos (3 x) d x