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

The derivative of (x^3+8x)^3 is 3(x^3+8x)^2(3x^2+8)

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

The first derivative of (x^3+8x)^3 is 3(x^3+8x)^2(3x^2+8)

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derivative of

(x^{3} + 8 x)^{3}

3 (x^{3} + 8 x)^{2} (3 x^{2} + 8)

Solution steps

\frac{d}{d x} ((x^{3} + 8 x)^{3})

Apply the chain rule:

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

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

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

= 3 (x^{3} + 8 x)^{2} (3 x^{2} + 8)

\int_{0}^{\frac{π}{2}} π sin^{2} (x) d x

\int \frac{1 - cos ( 4 x )}{2} d x

\frac{d}{d x} (7 + 7 x)

\frac{\partial}{\partial y} (4 x - 4 y)

\frac{d}{d x} (\frac{4 x ^{3}}{3} + 2 x + cos (x) + 1)

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