What is the derivative of (4x^3+1^3) ?

The derivative of (4x^3+1^3) is 36x^2(4x^3+1)^2

What is the first derivative of (4x^3+1^3) ?

The first derivative of (4x^3+1^3) is 36x^2(4x^3+1)^2

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

36 x^{2} (4 x^{3} + 1)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{3} + 1) = 12 x^{2}

= 3 (4 x^{3} + 1)^{2} \cdot 12 x^{2}

Simplify

= 36 x^{2} (4 x^{3} + 1)^{2}

5 - x^{2}, sin (x), - 2.384677, 2.0252116

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

\frac{d}{d x} (x + e^{- 2 x})

x^{2} y d x + (x^{3} + 3 x y^{2}) d y = 0

What is the derivative of (4x^3+1^3) ?
The derivative of (4x^3+1^3) is 36x^2(4x^3+1)^2
What is the first derivative of (4x^3+1^3) ?
The first derivative of (4x^3+1^3) is 36x^2(4x^3+1)^2