What is (\partial)/(\partial x)(5-x^2+xy-3y^2) ?

The answer to (\partial)/(\partial x)(5-x^2+xy-3y^2) is y-2x

Popular >

(\partial)/(\partial x)(5-x^2+xy-3y^2)

\frac{\partial}{\partial x} (5 - x^{2} + x y - 3 y^{2})

y - 2 x

Solution steps

\frac{\partial}{\partial x} (5 - x^{2} + x y - 3 y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (5) - \frac{\partial}{\partial x} (x^{2}) + \frac{\partial}{\partial x} (x y) - \frac{\partial}{\partial x} (3 y^{2})

\frac{\partial}{\partial x} (5) = 0

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

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

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

= 0 - 2 x + y - 0

Simplify

= y - 2 x

h (x) = ln (x + x^{2} - 11)

x, \frac{1}{2} x

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = x^{4} e^{x}

\int \frac{1}{2} y^{2} d y

\frac{s + 2}{s ^{2} + 4 s + 5}

What is (\partial)/(\partial x)(5-x^2+xy-3y^2) ?
The answer to (\partial)/(\partial x)(5-x^2+xy-3y^2) is y-2x