How do you find the derivative of #f(x) = x^3 + 6x^2#?
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To find the derivative of ( f(x) = x^3 + 6x^2 ), you use the power rule of differentiation, which states that if ( f(x) = x^n ), then ( f'(x) = nx^{n-1} ). Applying this rule, the derivative of ( x^3 ) is ( 3x^2 ), and the derivative of ( 6x^2 ) is ( 12x ). So, the derivative of ( f(x) = x^3 + 6x^2 ) is ( f'(x) = 3x^2 + 12x ).
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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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