determine from the first principles,

f′(x)   if   f(x)=−2x.
Then based on your working, what is the correct expression for

 
f(x+h)−f(x)?

To determine the derivative of \( f(x) = -2x \) from first principles, we use the definition of the derivative:

\[
f'(x) = \lim_{h \to 0}

Explore how to calculate f(x+h) - f(x) for the function f(x) = -2x using first principles and the definition of derivatives. This problem involves determining the derivative from first principles and applying it to find the difference quotient.

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