What is (\partial)/(\partial x)(2x^3-10y) ?

The answer to (\partial)/(\partial x)(2x^3-10y) is 6x^2

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(\partial)/(\partial x)(2x^3-10y)

\frac{\partial}{\partial x} (2 x^{3} - 10 y)

6 x^{2}

Solution steps

\frac{\partial}{\partial x} (2 x^{3} - 10 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x^{3}) - \frac{\partial}{\partial x} (10 y)

\frac{\partial}{\partial x} (2 x^{3}) = 6 x^{2}

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

= 6 x^{2} - 0

Simplify

= 6 x^{2}

\int_{6}^{8} \frac{y}{y ^{2} - 2 y - 3} d y

\int (x^{3} - 1)^{4} x^{2} d x

n = 1 \sum \infty \frac{1}{n ( n + 2 )}

t an g e n t 1 - 4 x

n = 1 \sum \infty \frac{( 1 )}{n ^{2}}

What is (\partial)/(\partial x)(2x^3-10y) ?
The answer to (\partial)/(\partial x)(2x^3-10y) is 6x^2