1. Use the definition of the derivative to find the derivative of, f(x)=6

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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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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