What is (\partial)/(\partial x)((x+10)^2*(y+2)) ?

The answer to (\partial)/(\partial x)((x+10)^2*(y+2)) is 2(y+2)(x+10)

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(\partial)/(\partial x)((x+10)^2*(y+2))

\frac{\partial}{\partial x} ((x + 10)^{2} \cdot (y + 2))

2 (y + 2) (x + 10)

Solution steps

\frac{\partial}{\partial x} ((x + 10)^{2} (y + 2))

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= (y + 2) \frac{\partial}{\partial x} ((x + 10)^{2})

Apply the chain rule:

2 (x + 10) \frac{\partial}{\partial x} (x + 10)

= 2 (x + 10) \frac{\partial}{\partial x} (x + 10)

\frac{\partial}{\partial x} (x + 10) = 1

= (y + 2) \cdot 2 (x + 10) \cdot 1

Simplify

= 2 (y + 2) (x + 10)

f (x) = \frac{x ^{3}}{3} + \frac{3}{x ^{3}}

\int x 5^{- x} d x

\int x (2 x + 5) d x

\frac{\partial}{\partial x} (8 e^{x y})

\frac{d y}{d t} = - y^{2}

What is (\partial)/(\partial x)((x+10)^2*(y+2)) ?
The answer to (\partial)/(\partial x)((x+10)^2*(y+2)) is 2(y+2)(x+10)