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

The derivative of (3x+2^4) is 12(3x+2)^3

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

The first derivative of (3x+2^4) is 12(3x+2)^3

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

12 (3 x + 2)^{3}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 12 (3 x + 2)^{3}

f (x) = 28 x^{2} - 10 x - 2

\frac{d y}{d x} = sin (y) ln (x)

\int \frac{2 x}{x ^{2} + 4 x + 4} d x

\int_{- \infty}^{- 2} x e^{x} d x

\int_{0}^{4} \frac{3}{64} x^{2} d x

What is the derivative of (3x+2^4) ?
The derivative of (3x+2^4) is 12(3x+2)^3
What is the first derivative of (3x+2^4) ?
The first derivative of (3x+2^4) is 12(3x+2)^3