What is (\partial)/(\partial x)(x^2-10y^2) ?

The answer to (\partial)/(\partial x)(x^2-10y^2) is 2x

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(\partial)/(\partial x)(x^2-10y^2)

\frac{\partial}{\partial x} (x^{2} - 10 y^{2})

2 x

Solution steps

\frac{\partial}{\partial x} (x^{2} - 10 y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (10 y^{2})

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

\frac{\partial}{\partial x} (10 y^{2}) = 0

= 2 x - 0

Simplify

= 2 x

x \to 0 lim (2^{x} - 5^{x})

(9 x^{6} + 8 x^{3})^{4}

y^{^{'}} + 7 y = 1

\int \frac{1}{r ^{3}} d r

\int_{0}^{0.08} 120 x d x

What is (\partial)/(\partial x)(x^2-10y^2) ?
The answer to (\partial)/(\partial x)(x^2-10y^2) is 2x