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

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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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
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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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