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How do you find the derivative of a polynomial?

Answer 1

Charles Anctil

#f(x)=a_nx^n+a_{n-1}x^{n-1}+cdots+a_1x+a_0#,

then

#f'(x)=na_n x^{n-1}+(n-1)a_{n-1} x^{n-2}+cdots+2a_2x+a_1#.

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Answer 2

Paisley Johnson

To find the derivative of a polynomial, apply the power rule. The power rule states that if you have a term of the form ( ax^n ), where ( a ) is a constant coefficient and ( n ) is a real number, the derivative is ( n \times ax^{n-1} ). For each term in the polynomial, take the derivative using this rule, and then combine the results to find the derivative of the entire polynomial.

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Answer from HIX Tutor

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.