What is (\partial)/(\partial x)(4x^3+2xy+1) ?

The answer to (\partial)/(\partial x)(4x^3+2xy+1) is 12x^2+2y

Popular >

(\partial)/(\partial x)(4x^3+2xy+1)

\frac{\partial}{\partial x} (4 x^{3} + 2 x y + 1)

12 x^{2} + 2 y

Solution steps

\frac{\partial}{\partial x} (4 x^{3} + 2 x y + 1)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 x^{3}) + \frac{\partial}{\partial x} (2 x y) + \frac{\partial}{\partial x} (1)

\frac{\partial}{\partial x} (4 x^{3}) = 12 x^{2}

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

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

= 12 x^{2} + 2 y + 0

Simplify

= 12 x^{2} + 2 y

\int x^{2} csc^{2} (x^{3}) d x

x \to \infty lim (\frac{an + 1}{an})

\int_{0}^{1} y - y^{2} d y

f (x) = tan (ln (a x + b))

\frac{\partial}{\partial x} (y + sin (x))

What is (\partial)/(\partial x)(4x^3+2xy+1) ?
The answer to (\partial)/(\partial x)(4x^3+2xy+1) is 12x^2+2y