What is the derivative of (5x-2^3) ?

The derivative of (5x-2^3) is 15(5x-2)^2

What is the first derivative of (5x-2^3) ?

The first derivative of (5x-2^3) is 15(5x-2)^2

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

15 (5 x - 2)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x - 2) = 5

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

Simplify

= 15 (5 x - 2)^{2}

What is the derivative of (5x-2^3) ?
The derivative of (5x-2^3) is 15(5x-2)^2
What is the first derivative of (5x-2^3) ?
The first derivative of (5x-2^3) is 15(5x-2)^2