What is the derivative of 2/3 (5-2x^2^3) ?

The derivative of 2/3 (5-2x^2^3) is -8x(5-2x^2)^2

What is the first derivative of 2/3 (5-2x^2^3) ?

The first derivative of 2/3 (5-2x^2^3) is -8x(5-2x^2)^2

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Popular >

\frac{d}{d x} (\frac{2}{3} (5 - 2 x^{2})^{3})

- 8 x (5 - 2 x^{2})^{2}

Solution steps

\frac{d}{d x} (\frac{2}{3} (5 - 2 x^{2})^{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{2}{3} \frac{d}{d x} ((5 - 2 x^{2})^{3})

Apply the chain rule:

3 (5 - 2 x^{2})^{2} \frac{d}{d x} (5 - 2 x^{2})

= 3 (5 - 2 x^{2})^{2} \frac{d}{d x} (5 - 2 x^{2})

\frac{d}{d x} (5 - 2 x^{2}) = - 4 x

= \frac{2}{3} \cdot 3 (5 - 2 x^{2})^{2} (- 4 x)

Simplify

\frac{2}{3} \cdot 3 (5 - 2 x^{2})^{2} (- 4 x) : - 8 x (5 - 2 x^{2})^{2}

= - 8 x (5 - 2 x^{2})^{2}

y = - 3 cot (2 x) sec (2 x)

\frac{\partial}{\partial t} (P e^{r t})

x \to - 0.01 lim (\frac{3 ^{x} - 1}{x})

y^{^{''}} + y^{^{'}} - 30 y = 0

\int 0.5 x^{3} d x

What is the derivative of 2/3 (5-2x^2^3) ?
The derivative of 2/3 (5-2x^2^3) is -8x(5-2x^2)^2
What is the first derivative of 2/3 (5-2x^2^3) ?
The first derivative of 2/3 (5-2x^2^3) is -8x(5-2x^2)^2