What is the derivative of (4x^2-5^3) ?

The derivative of (4x^2-5^3) is 24x(4x^2-5)^2

What is the first derivative of (4x^2-5^3) ?

The first derivative of (4x^2-5^3) is 24x(4x^2-5)^2

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

24 x (4 x^{2} - 5)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{2} - 5) = 8 x

= 3 (4 x^{2} - 5)^{2} \cdot 8 x

Simplify

= 24 x (4 x^{2} - 5)^{2}

What is the derivative of (4x^2-5^3) ?
The derivative of (4x^2-5^3) is 24x(4x^2-5)^2
What is the first derivative of (4x^2-5^3) ?
The first derivative of (4x^2-5^3) is 24x(4x^2-5)^2