The function g (æ) = |x² – 4| is differentiable at x = 4 . - True False

Q: . Find the value of a that makes the following function differentiable for all x-values. Jax, if x…

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Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: The given function is

Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

A:

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: Given: Since every differentiable function must be continuous.

Q: Determine if the given function below is continuous at x-2. Attached your complete solution and…

A: Topic = Continuity

Q: If f(x) =2+|x-3| for all x, then the value of the derivative f'(x) at x= 3 is 0 .a -1 .b 1 .c 2 .d

A:

Q: For what value(s) of x is f(x) = 4?

A: The first thing we must do for this case is observed the y coordinates for a given value of x…

Q: If f is a differentiable function and such that and g(x) = x+2 / 1+f(x) such that f(0) = -2 and…

A: Given: gx=x+21+fx, f0=-2 and f'0=5. To be find: the value of g'0. Formulas used:…

Q: The function g (x) = |x² – 4| is differentiable at x = 4 . -

A: We have to identify the statement as true or false.

Q: The function f(x) = x(x-1) has a vertical tangent when x = = X3 none О 13 O 1/4

A: The given function is f(x)=x13(x-1)

Q: For what value of the constant c is the function f continuous on (-o, o)? { Cx2 2x if x < 5 - x3…

A: Observe that, f (x) has discontinuity at x = 5.If it is continuous at x = 5, then continuous on…

Q: 1) Let f(x) = –2x² – 3x + 2 f (x+h)-f(x) Find where h # 0 and simplify your answer as much h…

A: We have to find the value of function

Q: ) Find the values of the constant a so that the function f (x) will be continuous for all x. fax +…

A:

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: For what value of the constant c is the function f continuous on (-0, 0) if x < 5 f(x) ={ cx? + 8x…

A:

Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: Find the value of a that makes the following function differentiablefor all x-values

A:

Q: Q2-For what value of b is the function x2 - 4x + 4 x # 2 f(x) = %3D x- 2 bx + 6 x = 2 continuous at…

A:

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: Vhich of the following is NOT TRUE about the function f(x, y) = e² + e"?

A:

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

A:

Q: For what value of the constant c is the function f continuous on (-00, 00)? cx2 + 2x if x < 5 f(x) D…

A:

Q: 1. Use the function f(x) = 4x°e* to answer the following problems: (a) On which interval(s) is the…

A: The given function is: fx=4x3 ex (a) To find the interval in which the function f(x) increasing?

Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: For what value(s) of x does the function f(x)= 4x3-x2-2x+5 have a horizontal tangent line?  a.) x=…

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Q: Suppose that f(x) is a differentiable function and g(x)=(x+2)/f(x). If f(1)= 5 and f'(1)=10, then…

A:

Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: The derivative of g(x) = (1/2)* is: positive for all x O negative for all x negative for x >0 and…

A: Given function is gx=12x  ....1

Q: Let f=3x^2+2 and find the values below 1) f(x+h) 2) (f(x+h)-f(x)) 3) lim h→0 (f(x+h)−f(x))/h 4) Find…

A: The given function is f(x)=3x^2+2.

Q: 3 f(x) = x² – 3

A:

Q: Find values of x where the function is not differentiable f(x)=lx-2l+3

A:

Q: If f(x) = 2+|x-3| for all x, then the value of the derivative f'(x) at x= 3 is (A) -1 (B) 0 (С) 1…

A:

Q: Q1: Find the value of the constant K if the function 4-x ;x#2 f (x) ={3-Vx² +5 is continuous at x=2.…

A:

Q: find the value of the constant (a, b, or c) that makes the function continuous

A:

Q: (b) Find values of x, if any at which f is not continuous (2x +3 xs 4 7+ x>4 f(x) = 16

A:

Q: If f(x) is a twice differentiable function with f(0) = 3, f(2) = 3, f' (2) = 4, Then æ f" (x)dæ =

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Q: 1 Use the functions given by fx) 1 and g(x) = x' to find (fº g)¯- %3D X - 125

A:

Q: Let f(x) = 3x² – 7x + 5. What is the value of x for which the tangent line to the graph of y = f(x)…

A:

Q: For what value of c is the function below continuous at x=-3? f(x) = { c  when x=-3 1 when x = 1…

A: The function                     f(x)=c                       when x=-31                       when…

Q: (b) If 38 10z f (2) = (2** + 6) e then at how many points the function f (z) is not differentiable?

A: f is every where differentiable, there are no points such that the function f(z) is not…

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: f(x) = In(x² + 1)

A:

Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

A: Given query is to find the value of the Indicated integral.

Q: Find the linear approximation of the function below at x = -1 and use it to approximate f(-0.8). -7x…

A:

Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

Q: he function f(x) = 5

A: Here we have to find the interval at which function f(x)=5x-ex is increasing.

Q: Suppose that f: R→R is a differentiable function, satisfying f(3)=5 and f(x) dx=8. 3 /x-s'(x) dx?…

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Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.