Let g be a differontiable function with g(-1)=-6 and d(-1) 3. Using the lincarization of g at -1, 9(-0.8) Glve your answer to the nearest tenth.

Q: For each of the functions below, select the reason why it is not differentiable at =0.

A: We have to find out the reason for not differentiability.

Q: Verify the Rolle's Theorem for the function (x2-1)(x-2) on [-1,2] find the point in the interval…

A: Given function is : fx=x2-1x-2 To verify the Rolle's Theorem and find the point in the interval…

Q: Is the function g(x) continuous at x = 5? g(x)= O No 1 5X+7, 5x-13, for x>5 Choose the correct…

A: Given query is to find function is continuous or not at x = 5.

Q: Suppose that f(x) is differentiable function such that f(1)=3 and f(1)=4. If g(x)= f(x) -, then what…

A:

Q: Consider the piecewise-defined function f defined by 8 -3x2 11 6x { if x 1 if x 1 f(x) Find f'(1).…

A: Given,

Q: the function f is not differentiable at x=0.

A:

Q: Assume that h(x) = f(g(x)) , where both f and g are differentiable functions. If g(-1)=2, g'(-1)=3,…

A: Given : hx = fgxg-1= 2g'-1 = 3f'2 = -4

Q: ) determine the rate of increase of the infection by sovid19 outhreak size A with respect to p the…

A: Answer

Q: If y = f(x) is an odd differentiable function defined on (-o, 0) such that %3D f'(3) = -2 then…

A: A function f(x) is said to be even if f(-x) = f(x) And odd if f(-x) = -f(x)

Q: - Is the function given by G(x) = Why or why not? continuous at x = 0?

A: We know that function is continuous only if its left hand and right hand limit equal, That is ,…

Q: Suppose that the di’erentiable function y = g(x) has an inverseand that the graph of g passes…

A: Differentiable function y=g(x) ha an inverse ; Graph of g passes through the origin with slope 2;

Q: For what value of the constant c is the function f continuous on (-0, 00)? C =

A:

Q: The average speed f (t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM…

A: The average speed function f(t)=20t-40t+50 is in terms of time t. The derivative of the function…

Q: Find the values of a and b such that f is differentiable at r = 3 and then sketch the graph of f if

A:

Q: Determine the values of x at which the function in Figure 18 is: (a) dis- continuous and (b)…

A: (a) Here from the graph, we can see that, The graph has a break at the point x =1, that is, Thus…

Q: 18. Suppose that f is a differentiable function such that f(g(x)) = x, and f'(x) = 1 1+(f(x))². Show…

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Q: Let f be a differentiable function such that f(4) = 3 and f'(x) = -3x + 3. What is the approximation…

A:

Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y…

A:

Q: ecos-1 x if x 1

A: If a function has to be continuous  then it must to follow below Left hand limit = Right  hand limit…

Q: What does it mean for f to be differentiable at a ?

A: we have to define that what we mean by the f is differentiable at a.

Q: In the given question , find all functions f having the indicated property? The tangent to the graph…

A: Explanation: Given a function f(x) and point of tangency (x,y). Also given that, the tangent line…

Q: . Suppose that f(r) is a function given by for 0<r<7, f(z) = for -n <I<0.

A:

Q: 2. Use the limit definition of derivatives to find the expression for f'(a) for the function 1 f(x)…

A: Here ,               We have given a function now we have to solve it by using definition of limit…

Q: f(a) = ca + 4 if a E (-∞, 2] I ca -4 if a e (2, 00) if a E (2, ∞)

A:

Q: Calculate R for f(x) = – 3 on the interval [0, 3] and write your answer as a function of n without…

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Q: Which of the following graph shows that f (z) = |r - 2| is continuous but not differentiable at x =…

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Q: Consider a function f(x) = |x – 3|. a. Show that f (x) is not differentiable at 3. -

A: Given         f(x) =|x-3|

Q: Find the absolute extrema of the function on the closed interval.

A:

Q: Evaluate f (x): at x = -2. %D 1 - x2 Select one: A. Discontinuous B. Continuous

A:

Q: Determine the values of x at which the function in Figure  is: (a) discontinuous and (b)…

A: To determine the values of x at which the function is  a) discontinuous. b) nondifferentiable.

Q: f(x) = Vx-3

A: Given function is fx=x-3.

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

A:

Q: Find a and b so that the function S4z - 3x² + 4, z -2 is both continuous and differentiable. a = b =

A:

Q: Determine if f(x) is differentiable at x = 0 if

A: We will find out the required solution.

Q: Find a function f such that f'(x) = x4 and the line 2x - y = 3 is tangent to the graph of f.

A: Given that

Q: Supposef is a differentiable function. If h is small, f (x +h) z f (x) + hf' (x). Approximatef (1.1)…

A:

Q: Assume that functions f and g are differentiable with f(- 3) = – 5, f'(- 3) = – 5, g(-3) = 4, and…

A: Given F(x)=f(x)g(x)

Q: Suppose that f(x) is differentiable function such that f' (1)=8 and f (1)=4. If    g(x) = (f(x)) /…

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Q: Use the second derivative to determine the intervals on which the given function is concave up and…

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Q: Let f be a differertiable function such that f(-5) = -9 and f'(x) = 2x + 8. What is the…

A:

Q: F:[- 2,2]– R, F(x) = L((- 3(² + 1) dt

A: We have F(x)=∫-2x2(t-3)(t2+1)dt       Apply Liebnitz's rule for differentiation under integration…

Q: The function f(x) = -elxl - 1 is differentiable at x = 0 Select one: O a. True O b. False

A: The function f(x)=-ex-1. We have to check whether it is differentiable at x = 0 or not.

Q: Find the intervals on which the function f(x)=e1/x is convex upward and convex downward.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Give an example of a differentiable function g: R→ R such that f is strictly increasing on R but g'…

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Q: If a function f is continuous at 0, show that g(x) = xf(x) is differentiable at 0 and find the value…

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Q: The föllowing function is differentiable at all x except at: a-1 cod x=2 b=-1 and x=2

A: To solve the following problem

Q: Find the intervals on which the function f(x)=e−x3 is convex upward and convex downward.

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Q: Define for a function rasls, y. 2) - slelo), 0), alo) where and, are differentiable functions.

A: