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

The derivative of (3x-2y^2-(2x-3y)^2) is 10x-10y(dy)/(dx)

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

The first derivative of (3x-2y^2-(2x-3y)^2) is 10x-10y(dy)/(dx)

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

10 x - 10 y \frac{d y}{d x}

Solution steps

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

Simplify

(3 x - 2 y)^{2} - (2 x - 3 y)^{2} : 5 x^{2} - 5 y^{2}

= \frac{d}{d x} (5 x^{2} - 5 y^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (5 y^{2})

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (5 y^{2}) = 10 y \frac{d y}{d x}

= 10 x - 10 y \frac{d y}{d x}

\frac{7 ( 1 - sin ( x ) )}{2 cos ( x )}

\int_{0}^{2 π} sin (2 x) d x

\int \frac{e ^{2 x + 1}}{2} d x

ln (x^{2} + y^{2})

\frac{d}{d x} (e^{7 - x})

What is the derivative of (3x-2y^2-(2x-3y)^2) ?
The derivative of (3x-2y^2-(2x-3y)^2) is 10x-10y(dy)/(dx)
What is the first derivative of (3x-2y^2-(2x-3y)^2) ?
The first derivative of (3x-2y^2-(2x-3y)^2) is 10x-10y(dy)/(dx)