What is the first derivative of-λx ?

The first derivative of-λx is -λ

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derivative of-λx

\frac{d}{d x} (- λ x)

- λ

Solution steps

\frac{d}{d x} (- λ x)

Take the constant out:

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

= - λ \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= - λ \cdot 1

Simplify

= - λ

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