What is the derivative of 2(2-3x)^2 ?

The derivative of 2(2-3x)^2 is -12(2-3x)

What is the first derivative of 2(2-3x)^2 ?

The first derivative of 2(2-3x)^2 is -12(2-3x)

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derivative of

2 (2 - 3 x)^{2}

- 12 (2 - 3 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= - 12 (2 - 3 x)

What is the derivative of 2(2-3x)^2 ?
The derivative of 2(2-3x)^2 is -12(2-3x)
What is the first derivative of 2(2-3x)^2 ?
The first derivative of 2(2-3x)^2 is -12(2-3x)