What is the derivative of sqrt(ln(x^2+3)) ?

The derivative of sqrt(ln(x^2+3)) is x/(sqrt(ln(x^2+3))(x^2+3))

What is the first derivative of sqrt(ln(x^2+3)) ?

The first derivative of sqrt(ln(x^2+3)) is x/(sqrt(ln(x^2+3))(x^2+3))

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\frac{d}{d x} (ln (x^{2} + 3))

\frac{x}{ln ( x ^{2} + 3 ) ( x ^{2} + 3 )}

Solution steps

\frac{d}{d x} (ln (x^{2} + 3))

Apply the chain rule:

\frac{1}{2 ln ( x ^{2} + 3 )} \frac{d}{d x} (ln (x^{2} + 3))

= \frac{1}{2 ln ( x ^{2} + 3 )} \frac{d}{d x} (ln (x^{2} + 3))

\frac{d}{d x} (ln (x^{2} + 3)) = \frac{2 x}{x ^{2} + 3}

= \frac{1}{2 ln ( x ^{2} + 3 )} \cdot \frac{2 x}{x ^{2} + 3}

Simplify

\frac{1}{2 ln ( x ^{2} + 3 )} \cdot \frac{2 x}{x ^{2} + 3} : \frac{x}{ln ( x ^{2} + 3 ) ( x ^{2} + 3 )}

= \frac{x}{ln ( x ^{2} + 3 ) ( x ^{2} + 3 )}

\int (1) d x

x \to c lim (4)

\int sec^{2} (x) + 5 d x

f (x) = 2 x^{3} + 5 x^{2} - 2, at x = - 2

\frac{( 3 t - 2 ) ^{3}}{t + 5}

What is the derivative of sqrt(ln(x^2+3)) ?
The derivative of sqrt(ln(x^2+3)) is x/(sqrt(ln(x^2+3))(x^2+3))
What is the first derivative of sqrt(ln(x^2+3)) ?
The first derivative of sqrt(ln(x^2+3)) is x/(sqrt(ln(x^2+3))(x^2+3))