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

The answer to (\partial)/(\partial x)(5(x-3)^2) is 10(x-3)

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(\partial)/(\partial x)(5(x-3)^2)

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

10 (x - 3)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 5 \cdot 2 (x - 3) \cdot 1

Simplify

= 10 (x - 3)

\frac{d y}{d x} + 2 x y^{4} = 0

\frac{d}{d x} (\frac{1}{6 + x})

(1 + x^{2}) d y + (1 + y^{2}) d x = 0

\int (ln (x) - ln (x y)) d x

x \to \infty lim (i x)

What is (\partial)/(\partial x)(5(x-3)^2) ?
The answer to (\partial)/(\partial x)(5(x-3)^2) is 10(x-3)