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

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

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

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

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derivative of

1 - 4 x^{2}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{x + 5}{x}

f (x) = x^{2} - 9 x, at x = 3

\frac{\partial}{\partial y} (x^{3} y)

\frac{1}{( z + 1 ) ^{3}}

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

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