What is (\partial)/(\partial x)(3/x-1-y) ?

The answer to (\partial)/(\partial x)(3/x-1-y) is -3/(x^2)

Popular >

(\partial)/(\partial x)(3/x-1-y)

\frac{\partial}{\partial x} (\frac{3}{x} - 1 - y)

- \frac{3}{x ^{2}}

Solution steps

\frac{\partial}{\partial x} (\frac{3}{x} - 1 - y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (\frac{3}{x}) - \frac{\partial}{\partial x} (1) - \frac{\partial}{\partial x} (y)

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

\frac{\partial}{\partial x} (1) = 0

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

= - \frac{3}{x ^{2}} - 0 - 0

Simplify

= - \frac{3}{x ^{2}}

4 x + 8, x^{2} + 19 x + 62, [- 9, - 6]

x \to 3 lim (\frac{x}{x ^{2} - 9})

\frac{\partial}{\partial x} (5 x y - 10 y)

\frac{d}{d x} ((8 x - 2 x^{2}) cos (y))

y = (x^{3} + 8) e^{x}

What is (\partial)/(\partial x)(3/x-1-y) ?
The answer to (\partial)/(\partial x)(3/x-1-y) is -3/(x^2)