What is the derivative of y=(8x+5)^3 ?

The derivative of y=(8x+5)^3 is 24(8x+5)^2

What is the first derivative of y=(8x+5)^3 ?

The first derivative of y=(8x+5)^3 is 24(8x+5)^2

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derivative of

y = (8 x + 5)^{3}

24 (8 x + 5)^{2}

Solution steps

\frac{d}{d x} ((8 x + 5)^{3})

Apply the chain rule:

3 (8 x + 5)^{2} \frac{d}{d x} (8 x + 5)

= 3 (8 x + 5)^{2} \frac{d}{d x} (8 x + 5)

\frac{d}{d x} (8 x + 5) = 8

= 3 (8 x + 5)^{2} \cdot 8

Simplify

= 24 (8 x + 5)^{2}

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What is the derivative of y=(8x+5)^3 ?
The derivative of y=(8x+5)^3 is 24(8x+5)^2
What is the first derivative of y=(8x+5)^3 ?
The first derivative of y=(8x+5)^3 is 24(8x+5)^2