Question

21-31 Find the derivative of the function using the definition of a derivative. State the domain of the function and the domain of its derivative. 21. $f(x) = \frac{1}{2}x - \frac{1}{3}$ 22. $f(x) = mx + b$ 23. $f(t) = 5t - 9t^2$ 24. $f(x) = 1.5x^2 - x + 3.7$ 25. $f(x) = x^2 - 2x^3$ 26. $f(x) = x + \sqrt{x}$ 27. $g(x) = \sqrt{1 + 2x}$ 28. $f(x) = \frac{x^2 - 1}{2x - 3}$ 29. $G(t) = \frac{4t}{t + 1}$ 30. $g(t) = \frac{1}{\sqrt{t}}$ 31. $f(x) = x^4$

          21-31 Find the derivative of the function using the definition of
a derivative. State the domain of the function and the domain of
its derivative.
21. $f(x) = \frac{1}{2}x - \frac{1}{3}$
22. $f(x) = mx + b$
23. $f(t) = 5t - 9t^2$
24. $f(x) = 1.5x^2 - x + 3.7$
25. $f(x) = x^2 - 2x^3$
26. $f(x) = x + \sqrt{x}$
27. $g(x) = \sqrt{1 + 2x}$
28. $f(x) = \frac{x^2 - 1}{2x - 3}$
29. $G(t) = \frac{4t}{t + 1}$
30. $g(t) = \frac{1}{\sqrt{t}}$
31. $f(x) = x^4$

21-31 Find the derivative of the function using the definition of
a derivative. State the domain of the function and the domain of
its derivative.
21. f(x) = (1)/(2)x - (1)/(3)
22. f(x) = mx + b
23. f(t) = 5t - 9t^2
24. f(x) = 1.5x^2 - x + 3.7
25. f(x) = x^2 - 2x^3
26. f(x) = x + √(x)
27. g(x) = √(1 + 2x)
28. f(x) = (x^2 - 1)/(2x - 3)
29. G(t) = (4t)/(t + 1)
30. g(t) = (1)/(√(t))
31. f(x) = x^4

Added by Sharon C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Carson Merrill

10/16/2020

Step 1

Step 1: For question 21, the function is given as fx = x^2. Show more…

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Question #29 21-31 Find the derivative of the function using the definition of a derivative.State the domain of the function and the domain of its derivative. 21.fx=x- 22.f=mx+b 24.fx=1.5x-x+3.7 26.fx=x+x 37- bers 23.f5t-9 25.fx=x=2x3 37. 27.gx=1+2x 2x-3 4t 29.G 1+1 31.fx=x 1 30.g St