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
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