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

The derivative of (x^3-2^5) is 15x^2(x^3-2)^4

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

The first derivative of (x^3-2^5) is 15x^2(x^3-2)^4

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

15 x^{2} (x^{3} - 2)^{4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 15 x^{2} (x^{3} - 2)^{4}

What is the derivative of (x^3-2^5) ?
The derivative of (x^3-2^5) is 15x^2(x^3-2)^4
What is the first derivative of (x^3-2^5) ?
The first derivative of (x^3-2^5) is 15x^2(x^3-2)^4