What is (\partial)/(\partial x)(3(x-6)^3) ?

The answer to (\partial)/(\partial x)(3(x-6)^3) is 9(x-6)^2

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(\partial)/(\partial x)(3(x-6)^3)

\frac{\partial}{\partial x} (3 (x - 6)^{3})

9 (x - 6)^{2}

Solution steps

\frac{\partial}{\partial x} (3 (x - 6)^{3})

Take the constant out:

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

= 3 \frac{\partial}{\partial x} ((x - 6)^{3})

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x - 6) = 1

= 3 \cdot 3 (x - 6)^{2} \cdot 1

Simplify

= 9 (x - 6)^{2}

3 - 11 x^{5}

\frac{d}{d x} (\frac{x ^{3} + 1}{x ^{2} - 1})

n = 1 \sum \infty \frac{n}{8 ^{n}}

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

x^{2} y y^{^{'}} = e^{y}

What is (\partial)/(\partial x)(3(x-6)^3) ?
The answer to (\partial)/(\partial x)(3(x-6)^3) is 9(x-6)^2