What is (\partial)/(\partial x)(x^2z+3z^2x+6(x+z)) ?

The answer to (\partial)/(\partial x)(x^2z+3z^2x+6(x+z)) is 2zx+3z^2+6

Popular >

(\partial)/(\partial x)(x^2z+3z^2x+6(x+z))

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

2 z x + 3 z^{2} + 6

Solution steps

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

Treat

z

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

\frac{\partial}{\partial x} (6 (x + z)) = 6

= 2 z x + 3 z^{2} + 6

\frac{d}{d x} (2 x^{6} - 8 x^{5} + 10 x^{4} - 10 x^{2} + 8 x - 2)

\int \frac{x - 4}{x ^{2} + 2 x - 15} d x

x \to \infty lim (3 x - 9 x^{2} + 6 x)

\int_{0}^{1} \frac{x}{1 + x ^{4}} d x

\frac{d y}{d x} = x y + 2 x + y + 2

What is (\partial)/(\partial x)(x^2z+3z^2x+6(x+z)) ?
The answer to (\partial)/(\partial x)(x^2z+3z^2x+6(x+z)) is 2zx+3z^2+6