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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\frac{d}{d x} ((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}

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