What is the derivative of 25(x^2-y^2) ?

The derivative of 25(x^2-y^2) is 25(2x-2y(dy)/(dx))

What is the first derivative of 25(x^2-y^2) ?

The first derivative of 25(x^2-y^2) is 25(2x-2y(dy)/(dx))

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\frac{d}{d x} (25 (x^{2} - y^{2}))

25 (2 x - 2 y \frac{d y}{d x})

Solution steps

\frac{d}{d x} (25 (x^{2} - y^{2}))

Take the constant out:

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

= 25 \frac{d}{d x} (x^{2} - y^{2})

Apply the Sum/Difference Rule:

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

= 25 (\frac{d}{d x} (x^{2}) - \frac{d}{d x} (y^{2}))

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

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

= 25 (2 x - 2 y \frac{d y}{d x})

\frac{d}{d x} (\frac{1 0 ^{x}}{1 0 ^{x} + 4})

\frac{d}{d x} (e^{- 6 x^{2}})

\int e^{- x} (1 - x) d x

\frac{\partial}{\partial x} (\frac{x}{x ^{7} - y ^{6}})

\int (x^{2} - 5)^{5} (2 x) d x

What is the derivative of 25(x^2-y^2) ?
The derivative of 25(x^2-y^2) is 25(2x-2y(dy)/(dx))
What is the first derivative of 25(x^2-y^2) ?
The first derivative of 25(x^2-y^2) is 25(2x-2y(dy)/(dx))