What is the derivative of ln(x^4+3) ?

The derivative of ln(x^4+3) is (4x^3)/(x^4+3)

What is the first derivative of ln(x^4+3) ?

The first derivative of ln(x^4+3) is (4x^3)/(x^4+3)

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derivative of

ln (x^{4} + 3)

\frac{4 x ^{3}}{x ^{4} + 3}

Solution steps

\frac{d}{d x} (ln (x^{4} + 3))

Apply the chain rule:

\frac{1}{x ^{4} + 3} \frac{d}{d x} (x^{4} + 3)

= \frac{1}{x ^{4} + 3} \frac{d}{d x} (x^{4} + 3)

\frac{d}{d x} (x^{4} + 3) = 4 x^{3}

= \frac{1}{x ^{4} + 3} \cdot 4 x^{3}

Simplify

\frac{1}{x ^{4} + 3} \cdot 4 x^{3} : \frac{4 x ^{3}}{x ^{4} + 3}

= \frac{4 x ^{3}}{x ^{4} + 3}

ln (\frac{x + 1}{x})

64 (2 + x)^{1}

sin (x^{2} - 5 x)

\frac{d}{d t} (5 - t)

e^{- 0} 0.25 x

What is the derivative of ln(x^4+3) ?
The derivative of ln(x^4+3) is (4x^3)/(x^4+3)
What is the first derivative of ln(x^4+3) ?
The first derivative of ln(x^4+3) is (4x^3)/(x^4+3)