How do you find the derivative of #f(x)=x^2+5x#?
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To find the derivative of ( f(x) = x^2 + 5x ), we'll apply the power rule and the constant multiple rule of differentiation.
Using the power rule, the derivative of ( x^2 ) with respect to ( x ) is ( 2x ).
Using the constant multiple rule, the derivative of ( 5x ) with respect to ( x ) is ( 5 ).
Adding these derivatives together, we get the derivative of ( f(x) = x^2 + 5x ):
[ f'(x) = 2x + 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.
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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