What is the derivative of (7-3x^2)^3 ?

The derivative of (7-3x^2)^3 is -18x(7-3x^2)^2

What is the first derivative of (7-3x^2)^3 ?

The first derivative of (7-3x^2)^3 is -18x(7-3x^2)^2

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (7 - 3 x^{2}) = - 6 x

= 3 (7 - 3 x^{2})^{2} (- 6 x)

Simplify

= - 18 x (7 - 3 x^{2})^{2}

\frac{d}{d x} (\frac{x + 36}{x})

\frac{\partial}{\partial x} (6 e^{y} sin (4 x) + 3 y - 2 x y)

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

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n = 0 \sum \infty \frac{n !}{10 4 ^{n}}

What is the derivative of (7-3x^2)^3 ?
The derivative of (7-3x^2)^3 is -18x(7-3x^2)^2
What is the first derivative of (7-3x^2)^3 ?
The first derivative of (7-3x^2)^3 is -18x(7-3x^2)^2