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5. Find the derivative of y=2¹-10² +13t.

5. Find the derivative of y=2¹-10² +13t.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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1. Use the definition of the derivative to find the derivative of, f(x)=6 6. 2. Use the definition of the derivative to find the derivative of, V(t)=3-14t 4. Find the derivative of f(x)=6x³-9x+4. 3. Use the definition of the derivative to find the derivative of, g(x)=x² 5. Find the derivative of y=2¹-10² +13. 9. . Find the derivative of g(z)=427-327 +9z. 7 . Find the derivative of y=√x+8√√x-2√x_ 1 8. . Use the Product Rule to find the derivative of ƒ(1) = (41²−1)(t³ −81² +12). Use the Product Rule to find the derivative of y =(1+√x³)(x^²³ −2√x) . 6x² 2-x 10. Use the Quotient Rule to find the derivative of g(x)=- 3w+w² 2w² +1 11. . Use the Quotient Rule to find the derivative of R(w) == 12. Determine the fourth derivative of h(t)=31²-61 +81³-12t+18
Transcribed Image Text:1. Use the definition of the derivative to find the derivative of, f(x)=6 6. 2. Use the definition of the derivative to find the derivative of, V(t)=3-14t 4. Find the derivative of f(x)=6x³-9x+4. 3. Use the definition of the derivative to find the derivative of, g(x)=x² 5. Find the derivative of y=2¹-10² +13. 9. . Find the derivative of g(z)=427-327 +9z. 7 . Find the derivative of y=√x+8√√x-2√x_ 1 8. . Use the Product Rule to find the derivative of ƒ(1) = (41²−1)(t³ −81² +12). Use the Product Rule to find the derivative of y =(1+√x³)(x^²³ −2√x) . 6x² 2-x 10. Use the Quotient Rule to find the derivative of g(x)=- 3w+w² 2w² +1 11. . Use the Quotient Rule to find the derivative of R(w) == 12. Determine the fourth derivative of h(t)=31²-61 +81³-12t+18
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