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Popular >

derivative of 4-x^2-y^2

Solution

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

Solution

- 2 x - 2 y \frac{d y}{d x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (4) = 0

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

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

= 0 - 2 x - 2 y \frac{d y}{d x}

Simplify

= - 2 x - 2 y \frac{d y}{d x}

Popular Examples

derivative of f(x)=sin(x)+1/2 cot(x)derivative of

f (x) = sin (x) + \frac{1}{2} cot (x)

integral from-2 to 0 of (2+sqrt(4-x^2))

\int_{- 2}^{0} (2 + 4 - x^{2}) d x

integral of (4x-11)/(2x^2+7x-4)

\int \frac{4 x - 11}{2 x ^{2} + 7 x - 4} d x

derivative of (x^3+x^2-x+2/(x+2))

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

limit as x approaches 0 of ((a^x-1))/x

x \to 0 lim (\frac{( a ^{x} - 1 )}{x})

Frequently Asked Questions (FAQ)

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