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Popular >

derivative of 2sqrt(4-x^2)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

(\partial)/(\partial x)((4-z^2)/(3x))

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

integral of (x^2+3x-5)/(x-3)

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

limit as x approaches 5+of (2-x)/(x-5)

x \to 5 + lim (\frac{2 - x}{x - 5})

integral of-4x(-6x^2-1)^6

\int - 4 x (- 6 x^{2} - 1)^{6} d x

derivative of x^2-2/3 x^3

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

Frequently Asked Questions (FAQ)

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