b. Find the values of xin (2, 2) l y - gx) Practice Exercises 21-30. Derivatives a. Use limits to find the derivative function f for the following functions f b. Evaluate f'(a) for the given values of a. 21. f(x) 5x +2: a 1,2 22. fx) 7:a1,2 23. fx)42+1: a 2,4 24. fx)3x: a1.4 25. 26.x)2:a 1.0 x + 1 x+ 2 27, f(t) =-; a = 9, 28, f(w) = V4w-3; a = 1,3 f f and then 29. f(s) 4s + 3s; a 3,-1 30. f(t) = 3t4; a =-2,2 31-32. Velocity functions A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t). a. For the following functions s(t), find the instantaneous velocity function v(1). (Recall that the velocity function v is the derivative of the position fiunction s.) b. Determine the instantaneous velocity of the projectile at t 31. s()1612 100 32. s(t)1612 128t + 192 33. Evaluate rand Lifys_ 34dnds 1 and 1 2 seconds. dy dy x+ 1 x 2

Question

For number 27, I understand the basic setup, but I'm unsure of what to do after I write out derivative function.

b. Find the values
of
xin
(2,
2)
l
y - gx)
Practice Exercises
21-30. Derivatives
a. Use limits to find the derivative function f for the following
functions f
b. Evaluate f'(a) for the given values of a.
21. f(x) 5x +2: a 1,2 22. fx) 7:a1,2
23. fx)42+1: a 2,4 24. fx)3x: a1.4
25.
26.x)2:a 1.0
x + 1
x+ 2
27,
f(t) =-; a = 9,
28, f(w) = V4w-3; a = 1,3
f
f and then
29. f(s) 4s + 3s; a 3,-1
30. f(t) = 3t4; a =-2,2
31-32. Velocity functions A projectile is fired vertically upward into
the air, and its position (in feet) above the ground after t seconds is
given by the function s(t).
a. For the following functions s(t), find the instantaneous velocity
function v(1). (Recall that the velocity function v is the derivative of
the position fiunction s.)
b. Determine the instantaneous velocity of the projectile at t
31. s()1612 100 32. s(t)1612 128t + 192
33. Evaluate rand Lifys_
34dnds
1 and
1 2 seconds.
dy dy
x+ 1
x 2
Expand
Transcribed Image Text

b. Find the values of xin (2, 2) l y - gx) Practice Exercises 21-30. Derivatives a. Use limits to find the derivative function f for the following functions f b. Evaluate f'(a) for the given values of a. 21. f(x) 5x +2: a 1,2 22. fx) 7:a1,2 23. fx)42+1: a 2,4 24. fx)3x: a1.4 25. 26.x)2:a 1.0 x + 1 x+ 2 27, f(t) =-; a = 9, 28, f(w) = V4w-3; a = 1,3 f f and then 29. f(s) 4s + 3s; a 3,-1 30. f(t) = 3t4; a =-2,2 31-32. Velocity functions A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t). a. For the following functions s(t), find the instantaneous velocity function v(1). (Recall that the velocity function v is the derivative of the position fiunction s.) b. Determine the instantaneous velocity of the projectile at t 31. s()1612 100 32. s(t)1612 128t + 192 33. Evaluate rand Lifys_ 34dnds 1 and 1 2 seconds. dy dy x+ 1 x 2

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