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

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

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

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

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

- 6 (5 - x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 - x) = - 1

= 3 \cdot 2 (5 - x) (- 1)

Simplify

= - 6 (5 - x)

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