What is the derivative of xy-y^2 ?

The derivative of xy-y^2 is y+x(dy)/(dx)-2y(dy)/(dx)

What is the first derivative of xy-y^2 ?

The first derivative of xy-y^2 is y+x(dy)/(dx)-2y(dy)/(dx)

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Popular >

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (x y) = y + x \frac{d y}{d x}

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

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

\int \frac{5 x ^{3} - 4 x + 2}{x ^{3} - x ^{2}} d x

x \frac{d y}{d x} + y = 2 x + 1, y (1) = 6

x \to 1 lim (3 \cdot a + x)

\frac{\partial}{\partial y} (10 x z sin (y))

\int \frac{1}{( 121 + x ^{2} ) ^{\frac{3}{2}}} d x

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