What is the first derivative of-7x ?

The first derivative of-7x is -7

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derivative of-7x

\frac{d}{d x} (- 7 x)

- 7

Solution steps

\frac{d}{d x} (- 7 x)

Take the constant out:

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

= - 7 \frac{d x}{d x}

Apply the common derivative:

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

= - 7 \cdot 1

Simplify

= - 7

(x + 1) \frac{d y}{d x} + y = ln (x), y (1) = 15

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