# How do you differentiate #f(x)=7x^3-x^2+x# using the sum rule?

Thus,

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To differentiate the function ( f(x) = 7x^3 - x^2 + x ) using the sum rule, you differentiate each term separately and then sum up the results.

So, ( f'(x) = \frac{d}{dx}(7x^3) - \frac{d}{dx}(x^2) + \frac{d}{dx}(x) ).

Applying the power rule for differentiation, we get:

( f'(x) = 21x^2 - 2x + 1 ).

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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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