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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int_{0}^{2} x e^{- x} d x

x \to 0 lim ((x - 2) e^{- \frac{1}{x}})

x (\frac{d y}{d x}) = 2 x + 2 y

\int \frac{1}{1 + 29 x} d x

x \to 0 lim (- \frac{3}{x})

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