What is the derivative of (6x+12^3) ?

The derivative of (6x+12^3) is 18(6x+12)^2

What is the first derivative of (6x+12^3) ?

The first derivative of (6x+12^3) is 18(6x+12)^2

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\frac{d}{d x} ((6 x + 12)^{3})

18 (6 x + 12)^{2}

Solution steps

\frac{d}{d x} ((6 x + 12)^{3})

Apply the chain rule:

3 (6 x + 12)^{2} \frac{d}{d x} (6 x + 12)

= 3 (6 x + 12)^{2} \frac{d}{d x} (6 x + 12)

\frac{d}{d x} (6 x + 12) = 6

= 3 (6 x + 12)^{2} \cdot 6

Simplify

= 18 (6 x + 12)^{2}

\int \frac{x ^{2} + 2 x + 2}{x + 2} d x

x \to - 2 + lim (\frac{- 8 x}{x + 2})

\int 2 cos (d) x d x

\frac{1}{s ( s + 6 ) ( s + 2 )}

x \to + 6 - lim (\frac{1}{x - 6})

What is the derivative of (6x+12^3) ?
The derivative of (6x+12^3) is 18(6x+12)^2
What is the first derivative of (6x+12^3) ?
The first derivative of (6x+12^3) is 18(6x+12)^2