What is the derivative of sqrt(4-4x^2) ?

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

What is the first derivative of sqrt(4-4x^2) ?

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

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 - 4 x^{2}) = - 8 x

= \frac{1}{2 4 - 4 x ^{2}} (- 8 x)

Simplify

\frac{1}{2 4 - 4 x ^{2}} (- 8 x) : - \frac{2 x}{1 - x ^{2}}

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

\frac{d ^{2} y}{d x ^{2}} + (\frac{d y}{d x})^{2} = 0

h (x) = x^{\frac{6}{5}}

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

x \to 0 lim (\frac{ln ( x )}{\frac{1}{x}})

\int_{0}^{8} 64 - x^{2} d x

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