What is the derivative of (x^8-2^3) ?

The derivative of (x^8-2^3) is 24x^7(x^8-2)^2

What is the first derivative of (x^8-2^3) ?

The first derivative of (x^8-2^3) is 24x^7(x^8-2)^2

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

24 x^{7} (x^{8} - 2)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{8} - 2) = 8 x^{7}

= 3 (x^{8} - 2)^{2} \cdot 8 x^{7}

Simplify

= 24 x^{7} (x^{8} - 2)^{2}

\frac{\partial}{\partial x} (4 y^{3} + 2 x^{2} y + 1)

\frac{d y}{d x} x + 7 y = e^{x^{7}}

\int (y e^{x^{2} + y^{2}} + 3 y^{2}) d y

\frac{d}{d x} (\frac{x ^{5}}{6} + \frac{1}{10 x ^{3}})

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

What is the derivative of (x^8-2^3) ?
The derivative of (x^8-2^3) is 24x^7(x^8-2)^2
What is the first derivative of (x^8-2^3) ?
The first derivative of (x^8-2^3) is 24x^7(x^8-2)^2