149 3.2 The Derivative as a Function Use the graph of g in the figure to do the following. a. Find the values of x in (-2, 2) at which g is not continuous. b. Find the values of x in (-2,2) at which g is not differentiable. 20. hs a-d of de- corresponding y= g(x) 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. f(x)=7;a=-1,2 23. f(x) = 4x2 + 1; a = 2,4 24. f(x) = x2 + 3x; a =-1.4 25. f(x) =-1, a =ー2,5 26. f(x) =-; a =-1,0 x + x+ 2 27. f(r) =-lt; a = 9,4 f(w)-V4w-3; a = 1,3 28. d then 29, f(s) = 4s3 + 3s; a =-3,-1 30. f(t)=3°; 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(t). (Recall that the velacit f
How would you solve #25
Image Transcriptionclose
149 3.2 The Derivative as a Function Use the graph of g in the figure to do the following. a. Find the values of x in (-2, 2) at which g is not continuous. b. Find the values of x in (-2,2) at which g is not differentiable. 20. hs a-d of de- corresponding y= g(x) 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. f(x)=7;a=-1,2 23. f(x) = 4x2 + 1; a = 2,4 24. f(x) = x2 + 3x; a =-1.4 25. f(x) =-1, a =ー2,5 26. f(x) =-; a =-1,0 x + x+ 2 27. f(r) =-lt; a = 9,4 f(w)-V4w-3; a = 1,3 28. d then 29, f(s) = 4s3 + 3s; a =-3,-1 30. f(t)=3°; 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(t). (Recall that the velacit f
Expert Answer
Related Calculus Q&A
Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in ...
A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By compar...
Q: Determine the interval(s) on which the following function is continuous, then analyze the given limi...
A: (2+2cosx) and sinx both are continuous functions. So the function (2+2cos x)/sinx will be discontinu...
Q: for the function f, given below, find the antiderivative F that satisfies F(1) = 1 The antiderivativ...
A: First, we find the general solution using integration.
Q: Help please.
A: The given function is (tan-1x)2.
Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2 +19x+62 over the interval [−9,...
A: We have to find area between f(x) and g(x) for given boundaries.f(x) and g(x) is given below:Graph ...
Q: Please sketch this by hand! And show all your steps as im doing my best to fully understand the proc...
A: (A) The function has an absolute maximum but no local maximum. This means the graph is strictly incr...
Q: For y= (x^4/4)-(x^3/3)-2 (a) Find y' =f'(x). (b) Find the critical values. (c) Find the critical ...
A: We are given a function
Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...
A: Given that a population develops according to the logistic equation
Q: Please show as much steps as possible as I am doing my best to fully understand how to solve these t...
A: Given function is,
