What is (\partial)/(\partial x)(2x^2+4y^2-3z^2-11) ?

The answer to (\partial)/(\partial x)(2x^2+4y^2-3z^2-11) is 4x

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(\partial)/(\partial x)(2x^2+4y^2-3z^2-11)

\frac{\partial}{\partial x} (2 x^{2} + 4 y^{2} - 3 z^{2} - 11)

4 x

Solution steps

\frac{\partial}{\partial x} (2 x^{2} + 4 y^{2} - 3 z^{2} - 11)

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x^{2}) + \frac{\partial}{\partial x} (4 y^{2}) - \frac{\partial}{\partial x} (3 z^{2}) - \frac{\partial}{\partial x} (11)

\frac{\partial}{\partial x} (2 x^{2}) = 4 x

\frac{\partial}{\partial x} (4 y^{2}) = 0

\frac{\partial}{\partial x} (3 z^{2}) = 0

\frac{\partial}{\partial x} (11) = 0

= 4 x + 0 - 0 - 0

Simplify

= 4 x

\int (cos (t)) d t

\int \frac{x ^{4} + 12 x ^{2} + 1}{x ^{5} + 20 x ^{3} + 5 x} d x

- 9 cos (3 x)

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

1 + t

What is (\partial)/(\partial x)(2x^2+4y^2-3z^2-11) ?
The answer to (\partial)/(\partial x)(2x^2+4y^2-3z^2-11) is 4x