Respuesta :

f'(x) = -3

Step-by-step explanation:

The derivative of a function f(x) is denoted by f'(x)

The derivative of x is one and the derivative of a constant is zero.

Given

[tex]f(x) = -3x+2[/tex]

Taking derivative on both sides

[tex]\frac{d}{dx} (f(x)) = \frac{d}{dx} (-3x+2)\\f'(x) = \frac{d}{dx} (-3x)+\frac{d}{dx} (2)\\= -3 \frac{d}{dx}(x) + 0\\=-3[/tex]

Hence,

f'(x) = -3

Keywords: Derivative, Function

Learn more about derivative at:

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