What is the derivative of (2x+3^4) ?

The derivative of (2x+3^4) is 8(2x+3)^3

What is the first derivative of (2x+3^4) ?

The first derivative of (2x+3^4) is 8(2x+3)^3

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

8 (2 x + 3)^{3}

Solution steps

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

Apply the chain rule:

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

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

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

= 4 (2 x + 3)^{3} \cdot 2

Simplify

= 8 (2 x + 3)^{3}

What is the derivative of (2x+3^4) ?
The derivative of (2x+3^4) is 8(2x+3)^3
What is the first derivative of (2x+3^4) ?
The first derivative of (2x+3^4) is 8(2x+3)^3