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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (2 - x^{3})^{2} (- 3 x^{2})

Simplify

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

x \to - 3 lim (19 + x)

x^{2} e^{x} - 2 x e^{x} + 2 e^{x}

8 x^{4}

\frac{d}{d x} (sin (x - x^{2}))

\int 5 sin^{4} (x) cos^{2} (x) d x

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