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

The derivative of y=(5-2x^3)^3 is -18x^2(5-2x^3)^2

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

The first derivative of y=(5-2x^3)^3 is -18x^2(5-2x^3)^2

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derivative of

y = (5 - 2 x^{3})^{3}

- 18 x^{2} (5 - 2 x^{3})^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 - 2 x^{3}) = - 6 x^{2}

= 3 (5 - 2 x^{3})^{2} (- 6 x^{2})

Simplify

= - 18 x^{2} (5 - 2 x^{3})^{2}

\int 2^{x} x^{2} d x

\int x^{5} x^{6} + 3 d x

f (x) = \frac{e ^{x}}{- 8 x ^{7}}

y^{^{'}} + y = t e^{- t} + e^{t}

x \to 0 lim (ln (\frac{x}{x - 1}))

What is the derivative of y=(5-2x^3)^3 ?
The derivative of y=(5-2x^3)^3 is -18x^2(5-2x^3)^2
What is the first derivative of y=(5-2x^3)^3 ?
The first derivative of y=(5-2x^3)^3 is -18x^2(5-2x^3)^2