What is (\partial)/(\partial x)(6y^2-6x^2) ?

The answer to (\partial)/(\partial x)(6y^2-6x^2) is -12x

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(\partial)/(\partial x)(6y^2-6x^2)

\frac{\partial}{\partial x} (6 y^{2} - 6 x^{2})

- 12 x

Solution steps

\frac{\partial}{\partial x} (6 y^{2} - 6 x^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 y^{2}) - \frac{\partial}{\partial x} (6 x^{2})

\frac{\partial}{\partial x} (6 y^{2}) = 0

\frac{\partial}{\partial x} (6 x^{2}) = 12 x

= 0 - 12 x

Simplify

= - 12 x

f (x) = x^{2} + 2, (2, 6)

f (x) = x^{2} - x, at x = 4

y^{^{'}} = y ln (\frac{450}{y})

f (x) = 4 cos (4 x)

\int \frac{1}{e ^{- y} + 1} d y

What is (\partial)/(\partial x)(6y^2-6x^2) ?
The answer to (\partial)/(\partial x)(6y^2-6x^2) is -12x