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Calculus Power Rule Worksheet Name Block Date Find the derivative of each function. y x8 y 3x f x x 2 10x 100 s t t 6t 18t 2t y 4x 3 2x 9 2 x4 3 x9 y x g x x 100 50x 1 x 2 4x 3 x y 5x 4 v r r y t 6t 9 f x 2x 3 g x x 2 x 3x 2 6 f x x 3x x2 x 12 2x 9 5x 7 16. Find an equation of the tangent line to the given curve at the specified point* y x x at x 1 17. Find the points on the curve y x 3 x 2 x 1 where the tangent is horizontal* Hint what is the slope of any horizontal line 4x 2x.
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How to fill out power rule worksheet form

01
To fill out a power rule worksheet, you need to understand the concept of the power rule in calculus. The power rule states that the derivative of a function with a constant multiple raised to a power is equal to the product of the exponent and the constant multiple raised to the power minus 1.
02
Begin by reading the instructions on the power rule worksheet carefully. The worksheet may provide you with a set of functions to differentiate or may ask you to derive certain functions using the power rule.
03
Identify the given functions or expressions that need to be differentiated using the power rule. Make sure to identify the constant multiples and exponents correctly.
04
Apply the power rule to each term in the given functions. Remember to multiply the exponent by the constant multiple and subtract 1 from the exponent.
05
Simplify the resulting expressions or functions after applying the power rule. Combine like terms if necessary and arrange the final derivative in a simplified form.
06
Double-check your answers by reviewing the instructions and comparing your solutions with the provided answer key, if available.
Who needs a power rule worksheet?
01
Students studying calculus or mathematics courses that cover derivatives and differentiation may need a power rule worksheet.
02
Teachers or educators may use power rule worksheets as part of their curriculum to assess students' understanding of the power rule and their ability to apply it to various functions.
03
Individuals who are preparing for standardized tests or exams that include calculus topics may also find power rule worksheets helpful for practice and reinforcement of their knowledge.
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