What is the derivative of f(x)=ln(4-x^6) ?

The derivative of f(x)=ln(4-x^6) is -(6x^5)/(4-x^6)

What is the first derivative of f(x)=ln(4-x^6) ?

The first derivative of f(x)=ln(4-x^6) is -(6x^5)/(4-x^6)

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derivative of

f (x) = ln (4 - x^{6})

- \frac{6 x ^{5}}{4 - x ^{6}}

Solution steps

\frac{d}{d x} (ln (4 - x^{6}))

Apply the chain rule:

\frac{1}{4 - x ^{6}} \frac{d}{d x} (4 - x^{6})

= \frac{1}{4 - x ^{6}} \frac{d}{d x} (4 - x^{6})

\frac{d}{d x} (4 - x^{6}) = - 6 x^{5}

= \frac{1}{4 - x ^{6}} (- 6 x^{5})

Simplify

\frac{1}{4 - x ^{6}} (- 6 x^{5}) : - \frac{6 x ^{5}}{4 - x ^{6}}

= - \frac{6 x ^{5}}{4 - x ^{6}}

\int x sin (\frac{nπ x}{20}) d x

x \to 2 - lim (\frac{x ^{2} - 4}{x - 2})

\frac{d}{d x} (\frac{4 x ( 2 x ^{2} + 3 )}{( 1 - 2 x ^{2} ) ^{3}})

\int \frac{3 x + 2}{( x + 5 ) ( x - 2 )} d x

s \to - 8 lim (4 (s) - 2)

What is the derivative of f(x)=ln(4-x^6) ?
The derivative of f(x)=ln(4-x^6) is -(6x^5)/(4-x^6)
What is the first derivative of f(x)=ln(4-x^6) ?
The first derivative of f(x)=ln(4-x^6) is -(6x^5)/(4-x^6)