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

The derivative of (3x-2)^6 is 18(3x-2)^5

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

The first derivative of (3x-2)^6 is 18(3x-2)^5

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derivative of

(3 x - 2)^{6}

18 (3 x - 2)^{5}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 18 (3 x - 2)^{5}

\int_{0}^{1} x sin (x^{2}) d x

\int (x^{4} + 3 x)^{2} d x

x \to 1 lim (x^{3} + x^{2} - 3)

\int_{1}^{32} (x^{- \frac{6}{5}}) d x

f (x) = 3 x + 13, (12, 7)

What is the derivative of (3x-2)^6 ?
The derivative of (3x-2)^6 is 18(3x-2)^5
What is the first derivative of (3x-2)^6 ?
The first derivative of (3x-2)^6 is 18(3x-2)^5