# How do you differentiate # f(x) = -5x + 3#?

#dy/dx=-5#

Given -

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To differentiate the function ( f(x) = -5x + 3 ), you apply the rules of differentiation, which involve finding the derivative of the function with respect to ( x ). In this case, since ( f(x) ) is a linear function in the form ( mx + b ), where ( m ) is the slope and ( b ) is the y-intercept, the derivative will be equal to the slope of the line, which is ( -5 ). Therefore, the derivative of ( f(x) ) with respect to ( x ), denoted as ( f'(x) ) or ( \frac{df}{dx} ), is simply ( -5 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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