What is the derivative of (4x+5^3) ?

The derivative of (4x+5^3) is 12(4x+5)^2

What is the first derivative of (4x+5^3) ?

The first derivative of (4x+5^3) is 12(4x+5)^2

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\frac{d}{d x} ((4 x + 5)^{3})

12 (4 x + 5)^{2}

Solution steps

\frac{d}{d x} ((4 x + 5)^{3})

Apply the chain rule:

3 (4 x + 5)^{2} \frac{d}{d x} (4 x + 5)

= 3 (4 x + 5)^{2} \frac{d}{d x} (4 x + 5)

\frac{d}{d x} (4 x + 5) = 4

= 3 (4 x + 5)^{2} \cdot 4

Simplify

= 12 (4 x + 5)^{2}

What is the derivative of (4x+5^3) ?
The derivative of (4x+5^3) is 12(4x+5)^2
What is the first derivative of (4x+5^3) ?
The first derivative of (4x+5^3) is 12(4x+5)^2