What is the derivative of (x^{11}-2^3) ?

The derivative of (x^{11}-2^3) is 33x^{10}(x^{11}-2)^2

What is the first derivative of (x^{11}-2^3) ?

The first derivative of (x^{11}-2^3) is 33x^{10}(x^{11}-2)^2

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\frac{d}{d x} ((x^{11} - 2)^{3})

33 x^{10} (x^{11} - 2)^{2}

Solution steps

\frac{d}{d x} ((x^{11} - 2)^{3})

Apply the chain rule:

3 (x^{11} - 2)^{2} \frac{d}{d x} (x^{11} - 2)

= 3 (x^{11} - 2)^{2} \frac{d}{d x} (x^{11} - 2)

\frac{d}{d x} (x^{11} - 2) = 11 x^{10}

= 3 (x^{11} - 2)^{2} \cdot 11 x^{10}

Simplify

= 33 x^{10} (x^{11} - 2)^{2}

x^{2} (x^{3} + 5)^{3}

\int \frac{w + 1}{w ^{2} + 2 w} d w

\frac{\partial}{\partial y} (x^{3} y^{5} - 2 x^{2} y + x)

\int \frac{u - 2}{u ^{2} + 16} d u

x \to \infty lim (4 x - 3)

What is the derivative of (x^{11}-2^3) ?
The derivative of (x^{11}-2^3) is 33x^{10}(x^{11}-2)^2
What is the first derivative of (x^{11}-2^3) ?
The first derivative of (x^{11}-2^3) is 33x^{10}(x^{11}-2)^2