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HW Supplement: Derivatives of Logarithmic Functions Name 6. Find the equation of the tangent line to f(x) = x² In x at the point where x = 1. Show all steps to support your answer. 皮 Jdx=x+C Matching: ln x A. Product, B. Chain, C. Constant Mult.(- = 3 3 In x), D. Sum, E. Quotient. AZUA 3G HW Supplement: Derivatives of Logarithmic Functions Name I. Match the function to the rule that would be used to take its derivative. A. f(x) = x²lnx Sum Rule Product Rule B. f(x)=In(x³ +e*) c. f(x) = 1nx ln 3 Quotient Rule Chain Rule D. f(x) = x²+ln x angent line to ln x Constant Multiple Rule E. f(x) = 2 x (Answers on reverse) II. Find the following derivatives. Label and simplify. 1. f(x) = x²lnx 2. g(x) = ln(x³ +e*) 3. h(x): = ln x 3 4. f(x) = x²+In x 5. g(x)= = ln x X (16/56)

HW Supplement: Derivatives of Logarithmic Functions Name 6. Find the equation of the tangent line to f(x) = x² In x at the point where x = 1. Show all steps to support your answer. 皮 Jdx=x+C Matching: ln x A. Product, B. Chain, C. Constant Mult.(- = 3 3 In x), D. Sum, E. Quotient. AZUA 3G HW Supplement: Derivatives of Logarithmic Functions Name I. Match the function to the rule that would be used to take its derivative. A. f(x) = x²lnx Sum Rule Product Rule B. f(x)=In(x³ +e*) c. f(x) = 1nx ln 3 Quotient Rule Chain Rule D. f(x) = x²+ln x angent line to ln x Constant Multiple Rule E. f(x) = 2 x (Answers on reverse) II. Find the following derivatives. Label and simplify. 1. f(x) = x²lnx 2. g(x) = ln(x³ +e*) 3. h(x): = ln x 3 4. f(x) = x²+In x 5. g(x)= = ln x X (16/56)

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
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HW Supplement: Derivatives of Logarithmic Functions Name 6. Find the equation of the tangent line to f(x) = x² In x at the point where x = 1. Show all steps to support your answer. 皮 Jdx=x+C Matching: ln x A. Product, B. Chain, C. Constant Mult.(- = 3 3 In x), D. Sum, E. Quotient. AZUA 3G
Transcribed Image Text:HW Supplement: Derivatives of Logarithmic Functions Name 6. Find the equation of the tangent line to f(x) = x² In x at the point where x = 1. Show all steps to support your answer. 皮 Jdx=x+C Matching: ln x A. Product, B. Chain, C. Constant Mult.(- = 3 3 In x), D. Sum, E. Quotient. AZUA 3G
HW Supplement: Derivatives of Logarithmic Functions Name I. Match the function to the rule that would be used to take its derivative. A. f(x) = x²lnx Sum Rule Product Rule B. f(x)=In(x³ +e*) c. f(x) = 1nx ln 3 Quotient Rule Chain Rule D. f(x) = x²+ln x angent line to ln x Constant Multiple Rule E. f(x) = 2 x (Answers on reverse) II. Find the following derivatives. Label and simplify. 1. f(x) = x²lnx 2. g(x) = ln(x³ +e*) 3. h(x): = ln x 3 4. f(x) = x²+In x 5. g(x)= = ln x X (16/56)
Transcribed Image Text:HW Supplement: Derivatives of Logarithmic Functions Name I. Match the function to the rule that would be used to take its derivative. A. f(x) = x²lnx Sum Rule Product Rule B. f(x)=In(x³ +e*) c. f(x) = 1nx ln 3 Quotient Rule Chain Rule D. f(x) = x²+ln x angent line to ln x Constant Multiple Rule E. f(x) = 2 x (Answers on reverse) II. Find the following derivatives. Label and simplify. 1. f(x) = x²lnx 2. g(x) = ln(x³ +e*) 3. h(x): = ln x 3 4. f(x) = x²+In x 5. g(x)= = ln x X (16/56)
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