Applied Calculus CH3 Part II Formative

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Presentation transcript:

Applied Calculus CH3 Part II Formative Numbers 1-4 Calculate the derivatives of the given functions. Restrict yourself to the use of the constant and power rules by first simplifying and/or rewriting the functions so they are not a product or quotient. Final answers may not contain negative exponents but may be left as a series of individual terms. Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative Applied Calculus Formative Chapter 3 Part II: Derivative of Powers, Products, and Quotients 1) 2) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 3) 3 Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 4) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 5-6 Calculate the derivative of the following functions by using the product or quotient rules. Show first step only. Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 5) 6) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative Use the chain rule to find the derivative of this function. 7) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 8-9 Use the chain rule in combination with the product or quotient rule to find the derivative of the functions on the next couple of slides. Leave the derivative in simplified, factored form. Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 8) Applied Calculus CH3 Part II Formative

9) 1 5

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative There is a horizontal tangent line when f’(x) = 0. Set numerator = 0 Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative More Derivative Practice. Find the derivative of the given functions. 1) 2) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 3) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 4) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 5) STOP 6) STOP Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 7) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 8) Applied Calculus CH3 Part II Formative

Applied Calculus CH3 Part II Formative 9) 1 4 Applied Calculus CH3 Part II Formative