What is the derivative of (2x-3)^6 ?

The derivative of (2x-3)^6 is 12(2x-3)^5

What is the first derivative of (2x-3)^6 ?

The first derivative of (2x-3)^6 is 12(2x-3)^5

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derivative of

(2 x - 3)^{6}

12 (2 x - 3)^{5}

Solution steps

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

Apply the chain rule:

6 (2 x - 3)^{5} \frac{d}{d x} (2 x - 3)

= 6 (2 x - 3)^{5} \frac{d}{d x} (2 x - 3)

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

= 6 (2 x - 3)^{5} \cdot 2

Simplify

= 12 (2 x - 3)^{5}

What is the derivative of (2x-3)^6 ?
The derivative of (2x-3)^6 is 12(2x-3)^5
What is the first derivative of (2x-3)^6 ?
The first derivative of (2x-3)^6 is 12(2x-3)^5