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footprints
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[tex](2x+3)^3(x-4)[/tex]
How do I differentiate this?
How do I differentiate this?
The power rule is used when taking the derivative of a term raised to a power. To apply the power rule, you must multiply the original term by the power, subtract 1 from the power, and keep the original base raised to the power.
Yes, the power rule can be used for both positive and negative exponents. When the exponent is negative, you must first rewrite the term using the negative exponent property before applying the power rule.
The product rule is used when taking the derivative of two or more terms multiplied together. To use the product rule, you must first identify the two terms and their respective derivatives, then plug them into the formula: (f'g + fg'). Remember to use the power rule when taking the derivative of each term.
Yes, the product rule can be extended to more than two terms. For example, if you have three terms multiplied together, you would use the formula (f'gh + fgh' + f'g'h). Simply apply the power rule to each term to find its derivative.
You should use the power rule when taking the derivative of a single term raised to a power. You should use the product rule when taking the derivative of two or more terms multiplied together. If you are unsure, you can always try both rules and see which one gives you the correct answer.