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Use an applicable rule to find each derivative. 1. f(x)=x²-2x' +7x-12 2. g(x) = 3x +2x+1 3. s(1) =-16 + 70 + 500

Use an applicable rule to find each derivative. 1. f(x)=x²-2x' +7x-12 2. g(x) = 3x +2x+1 3. s(1) =-16 + 70 + 500

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The Power Rule ional number, then the function f(x) = x" The Constant Rule The derivative of a constarPress Esc to exit full screen entiable and... d n- The Constant Multiple Rule If fis a differentiable function and c is a real number, then cf is differentiable and... The Sum and Difference Rules The sum (or difference) of two differentiable functions, fand g, is differentiable and... le- S(x)]=c•f (x) IS(2) ±g(x)] = f(x)± g (x) Use an applicable rule to find each derivative. 1. f(x) = x' – 2x³ + 7x–12 2. g(x)= 3x +2x+1 3. s(t) = -161? +70t + 500 2 4. y =- 5. y= 2/x 4x 6. у%3 7. у%3 8. y= 9. f(x) =x' – 4x+5 - 11. h(x) = Vx – Vx - 1 7 12. f(x)=- 10. g(x)= - -+3x - 2х 13. f(x)=x² +5 – 3x 14. h(s) = s* – s* 15. F(T')=T* –T* +4 16. у%3 3x(6х - 5х*) x' - 3x +4 2x? -3х +1 17. f(x)= 18. h(x) = x?
Transcribed Image Text:The Power Rule ional number, then the function f(x) = x" The Constant Rule The derivative of a constarPress Esc to exit full screen entiable and... d n- The Constant Multiple Rule If fis a differentiable function and c is a real number, then cf is differentiable and... The Sum and Difference Rules The sum (or difference) of two differentiable functions, fand g, is differentiable and... le- S(x)]=c•f (x) IS(2) ±g(x)] = f(x)± g (x) Use an applicable rule to find each derivative. 1. f(x) = x' – 2x³ + 7x–12 2. g(x)= 3x +2x+1 3. s(t) = -161? +70t + 500 2 4. y =- 5. y= 2/x 4x 6. у%3 7. у%3 8. y= 9. f(x) =x' – 4x+5 - 11. h(x) = Vx – Vx - 1 7 12. f(x)=- 10. g(x)= - -+3x - 2х 13. f(x)=x² +5 – 3x 14. h(s) = s* – s* 15. F(T')=T* –T* +4 16. у%3 3x(6х - 5х*) x' - 3x +4 2x? -3х +1 17. f(x)= 18. h(x) = x?
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