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

The derivative of (5-3x^2) is -6(5-3x)

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

The first derivative of (5-3x^2) is -6(5-3x)

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

- 6 (5 - 3 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 (5 - 3 x) (- 3)

Simplify

= - 6 (5 - 3 x)

What is the derivative of (5-3x^2) ?
The derivative of (5-3x^2) is -6(5-3x)
What is the first derivative of (5-3x^2) ?
The first derivative of (5-3x^2) is -6(5-3x)