What is the derivative of x^3-2x^2y-2y^2-1 ?

The derivative of x^3-2x^2y-2y^2-1 is 3x^2-4xy

What is the first derivative of x^3-2x^2y-2y^2-1 ?

The first derivative of x^3-2x^2y-2y^2-1 is 3x^2-4xy

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derivative of

x^{3} - 2 x^{2} y - 2 y^{2} - 1

3 x^{2} - 4 x y

Solution steps

\frac{d}{d x} (x^{3} - 2 x^{2} y - 2 y^{2} - 1)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (1) = 0

= 3 x^{2} - 4 y x - 0 - 0

Simplify

= 3 x^{2} - 4 x y

arcsin (\frac{x}{7})

y = 4^{- x} sin (x)

\int \frac{9 - x ^{2}}{7 x ^{3} + x} d x

x \to 2 lim (\frac{x ^{7} - 128}{x - 2})

\frac{d}{d x} (e e^{x})

What is the derivative of x^3-2x^2y-2y^2-1 ?
The derivative of x^3-2x^2y-2y^2-1 is 3x^2-4xy
What is the first derivative of x^3-2x^2y-2y^2-1 ?
The first derivative of x^3-2x^2y-2y^2-1 is 3x^2-4xy