What is the derivative of y=(7-3x^3)^3 ?

The derivative of y=(7-3x^3)^3 is -27x^2(7-3x^3)^2

What is the first derivative of y=(7-3x^3)^3 ?

The first derivative of y=(7-3x^3)^3 is -27x^2(7-3x^3)^2

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derivative of

y = (7 - 3 x^{3})^{3}

- 27 x^{2} (7 - 3 x^{3})^{2}

Solution steps

\frac{d}{d x} ((7 - 3 x^{3})^{3})

Apply the chain rule:

3 (7 - 3 x^{3})^{2} \frac{d}{d x} (7 - 3 x^{3})

= 3 (7 - 3 x^{3})^{2} \frac{d}{d x} (7 - 3 x^{3})

\frac{d}{d x} (7 - 3 x^{3}) = - 9 x^{2}

= 3 (7 - 3 x^{3})^{2} (- 9 x^{2})

Simplify

= - 27 x^{2} (7 - 3 x^{3})^{2}

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What is the derivative of y=(7-3x^3)^3 ?
The derivative of y=(7-3x^3)^3 is -27x^2(7-3x^3)^2
What is the first derivative of y=(7-3x^3)^3 ?
The first derivative of y=(7-3x^3)^3 is -27x^2(7-3x^3)^2