(1, 4) (4, -2) Graph of f The graph of the function f, consisting of two line segments, is shown in the figure above. Let g be the function given by g (x) = 2x + 1, and let h be the function given by h (x) = f (g (æ)). What is the value of h' (1) ?

Q: 10. (a) The graph of f is given. State the point where the function is not diffetentiable (where the…

A: Solution 10(a): Since the at x = -3 we get Sharpe edge. Hence the function is not differentiable at…

Q: f(3) = -9 and f'(3) = 7 . Then the equation of the tangent line to the graph of y = f(x) at x = 3 is

A: Given Data: The value of function at x=3 is: f(3)=-9 The value of the derivative of the function at…

Q: The graph of y = f(x) passes through the point (9,4). Also, the line tangent to the graph at any…

A:

Q: q.no Use a graphing utility to graph the two functions f (x) = x2 + 1 and g(x) = lxl + 1 in the same…

A: We graph the functions as

Q: sider the following function. f(x) = x(x – 9)² Make a sign diagram for the first derivative.…

A: x(x^2-18x-81) First derivative: 3x^2-36x+81       Second derivative : 6x-36

Q: (3, 2) 1+ -2 -1 1 2 3 4 Graph of g' 15. The graph of g', the first derivative of the function g,…

A: Integration gives the area under the curve in given interval.

Q: Graph of f' The graph of f'(x), the derivative of f is shown. The function f has a local minimum at…

A: Points where f' is zero. f' = 0 ; points are 1, -3. Function increases after x=-3 to x=1, hence,…

Q: Find f′(x) for f(x) = √x. Then find the slopes of the graph of f at the points      (1, 1) and (4,…

A: We use the power rule

Q: Power Function Derivatives Matching -15x - 100x-11 -48x- 12 (-3* - 10:-10) 2x- 42

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2- 1- -3 -2 -1 1 3 4 Graph of f' The graph of f', the derivative of the function f, is shown above.…

A: Consider

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A: Given:f(x)=x2x+7        at  (1,16)

Q: finding the local mins and maximums and the intervals of increase and decrease and making a sign…

A: Consider the graph of the function:

Q: \2 3 Graph of f' The figure above shows the graph of (На рисунке выше показан график ) f. the…

A: According to Question:  Consider the graph: When the sign of graph f'x changes from positive to…

Q: 2) Find the equation of the line through the point (2, 5) with a slope of m = -. Graph the line on…

A:

Q: The graph of y = f(x) passes through the points (0, 1), (1, 2), and (2, 3). Find the corresponding…

A:

Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a)…

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Q: 18. One of the graphs shown is a function f and the other is its derivative f'. Which one is which,…

A:

Q: 4x Find the slope of the graph of the function g(x) = x-5 at (7,14). Then find an equation for the…

A:

Q: A swimmer crosses a pool of width b by swimming in a straight line from (0, 0) to (2b, b) as shown…

A: Given That -

Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

Q: A swimmer crosses a pool of width b by swimming in a straight line from (0, 0) to (2b, b) as shown…

A: Given, Initial point- (x1,y1)=(0,0) Final point- (x2,y2)=(2b,b)

Q: 1. the derivative of a function f is given by the formula x2 – 2x - 3 df (x) dx x - 1 (a). There is…

A: The expression, f(x)g(x) is undefined, if g(x)=0 . For the expression, f(x)g(x) , if g(x)≠0, and…

Q: -6 -4 -2 -6 y 2 4 The graph of f(x) is given above. Determine the domain and range of f-¹(x) using…

A:

Q: consider the function y= X2+6X-2 A. Sketch the graph of the function defined on the open interval…

A: (A) The function is: y = - x2 + 6x - 2 The graph of this function is:

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(r)? %3D 200 150 100 50 -10 -8…

A: We are given the graph of y = f(x) in the figure attached and we have to find the end behaviour of…

Q: f(x) = x - 4.5x- 12x +1 a) Find the first and second derivatives. f'(x) = --- ... --- f" (x) = b)…

A:

Q: 4x Find the slope of the graph of the function y = at (5,10). Then find an equation for the line…

A: To find the slope of the curve, we need to find out the derivative of the curve with respect to…

Q: Q3-5. The function f has a local/relative minimum value when x = It has a local/relative maximum…

A:

Q: Example 2: For the function below, find any local extrema using the Second Derivative Test. Then…

A: Find the maximum and minimum of the function using second derivative test

Q: -5 4 -3 -2 -1 /2 3 4 $ -2 -3 -4 -5 The function graphed above has: Positive derivative on the…

A:

Q: A function and its first and second derivativesare given. Use these to find each of the following.…

A: The first derivative of the function is zero and the second derivative is positive at a point x=a,…

Q: (-3, 1) Let f be a function defined on the closed interval –3 < x $ 4 with f(0) = 3. The graph of…

A:

Q: (0, 2) Given the graph of f (x) (-3, 0) (3, 0) -4 2 4 |(-2, 0) (1, 0)

A:

Q: 15. 10- 5 -8 -6 |-4 -2 4 -5. -10+ Graph of f' The graph of f', the derivative of the continuous…

A: Given that: Graph of f'(x)

Q: Consider the function f(x) = -4x - x² and the point P(-2, 4) on the graph of f. Exercise (a) Graph f…

A: To sketch the graph and draw the secant lines

Q: Find an equation of the tangent line to the graph of f(x) = -3-3x at (-3,- 30). %3! The equation of…

A: The given equations    ,  f(x)=-3-3x2 we have to find the tangent at (-3,-30) another , f(x)=2x3 at…

Q: The graph of a function is given. Choose the answer that represents the graph of its derivative. 15+…

A:

Q: 2 -2 4 -2 Consider the function graphed here, g (x), restricted to the closed domain [0, 4]. Which…

A:

Q: x +1 Graph the function y = by applying the first and second derivative tests. Also discuss the…

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Q: Please use limit process ***Using only Constant, power, constant multiple, sum &amp; difference,…

A: Given function,

Q: Graphs of the function is shown in [-5, 5, 1] by [-5, 5, 1] viewing rectangles. Match the function…

A: Given: The graph of the function in [-5, 5, 1] by [-5, 5, 1] viewing rectangles is

Q: The point (0,0) belongs to the graph of the function g(x). What is the corresponding point on the…

A: Given, g(x)= -f(x)/2 +3 Point (x,y)= (0,0)= (x,g(x))= (0,g(0))

Q: Use the 4-step process to find the slope of a tangent line to the graph of the function f(x) = -x2 +…

A: [a]

Q: Find an equation of the tangent line to the graph of the function at the given point. y =V 2x3 + 8…

A:

Q: .******* The graph of y f(x) passes through the points (0, 1), (1, 2), and (2, 3). Find the…

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Q: - 14 / 15 9. Find an equation of the curve whose tangent line has a slope of f'(x) = 3x given that…

A:

Q: -5 4 -3-2 2 3 The function graphed above has: Positive derivative on the interval(s) Negative…

A: If the derivative of a function is positive then the function is increasing on that interval and if…

Q: f(-1) = 4, f(2) = 1 interval sign of ƒ' sign of f" graph of ƒ (-0, –1) | (-1,2) | (2, 0) + +

A: Topic : graph of a function

Q: (3, 2) 1- 1 3 4 Graph of g' The graph of g', the first derivative of the function g, consists of a…

A: