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

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

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

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

2 x

Solution steps

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

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} (6 y)

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

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

= 2 x - 0

Simplify

= 2 x

(- ln (2 x))^{^{'}}

f (x) = x^{2} + 1, at x = 2

\int 12 - x d x

t \to - 1 lim (1 - 2 t)

\frac{6}{s ^{2} ( s ^{2} + 8 s + 1 )}

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