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

The derivative of (x^3+2^3) is 9x^2(x^3+2)^2

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

The first derivative of (x^3+2^3) is 9x^2(x^3+2)^2

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

9 x^{2} (x^{3} + 2)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 9 x^{2} (x^{3} + 2)^{2}

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\frac{\partial}{\partial z} (y^{2} e^{x yz})

\int_{1}^{\infty} \frac{1}{x ^{2} + 4} d x

\frac{\partial}{\partial x} (x^{2} + x y + y^{2} - 6 x + 2)

\int \frac{e ^{2} x}{4 + e ^{4} x} d x

What is the derivative of (x^3+2^3) ?
The derivative of (x^3+2^3) is 9x^2(x^3+2)^2
What is the first derivative of (x^3+2^3) ?
The first derivative of (x^3+2^3) is 9x^2(x^3+2)^2