What is the derivative of sqrt(1-x^4) ?

The derivative of sqrt(1-x^4) is -(2x^3)/(sqrt(1-x^4))

What is the first derivative of sqrt(1-x^4) ?

The first derivative of sqrt(1-x^4) is -(2x^3)/(sqrt(1-x^4))

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

- \frac{2 x ^{3}}{1 - x ^{4}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= - \frac{2 x ^{3}}{1 - x ^{4}}

\int e^{3 x + 5} \cdot (9 x + 5) d x

8^{^{'}}

\int \frac{8}{x ln ( 3 x )} d x

x \to - 2 lim (\frac{1}{x})

\int 8 x (4 x^{2} + 3)^{2} d x

What is the derivative of sqrt(1-x^4) ?
The derivative of sqrt(1-x^4) is -(2x^3)/(sqrt(1-x^4))
What is the first derivative of sqrt(1-x^4) ?
The first derivative of sqrt(1-x^4) is -(2x^3)/(sqrt(1-x^4))