if λE [0, 1] Consider f(x) = {-n if aco one can say that f -2 a) is not decreasing on (-00, I] b) is decreasing on (-00, 0) U(0, 1] c) is monotone on (-00, IJ d) has an absolute maximum at the origin e) is continuous at the origin. origin origin

Q: f(x) is continuous at all values of x except for -6 and -2 • f'(x) > 0 on the intervals (-2, 0) and…

A: Note: There are multiple sub-questions. No specific question has been asked. So, We will solve the…

Q: The graph of f'(æ) is shown below. Where is f (x) decreasing? y =f '(x) 10

A: function problem

Q: Only one can be true

A: Step 1:Step 2: Step 3: Step 4:

Q: fn cte USE VOUR SMARTPHONE FOR Reviews ideos- Features Specs - SuPport SCAN Standard data rates may…

A: In part a we will differentiate using product rule of differentiation. Hindi movie in part be we…

Q: If f'(x)=0 for all *, then a) f(x)=(x) for every x₁ x₂ c) f(x)>(x) for every x₁>x₂ d) f(x)>(x) for…

A: If  then which option is correct .

Q: unction fis given by f' (z) =-3z +4 for all z, and f(-1) = 6. Which of the following is an equation…

A: Given that the drivative of the function f isf'(x) = -3x+4  for all xand f(-1) = 6Now, f'(x)x = -1 =…

Q: Sketch the graph of the function with points (-2,0), (0,0) and (2,0) (4,2) and vertical asymptote at…

A: The objective of this question is to sketch the graph of a function given certain points,…

Q: 2r – 3, Use the limit definition of derivative to show that f(x) = I 2 I = 2.

A: for differentiate at point  the function should be contineous at point for contineous limx→2+ f(x) =…

Q: Find the domain and the derivative of the function f (x) = In x + V x² -25 Enter DNE in any empty…

A: The graph is shown below:

Q: = a are given. Evaluate f(z) dr. on (b-a) +2 (ab - a) - 2 a+b) +2 a-b) - 2 II la + b) - 2

A:

Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is…

A: Let's find.

Q: Continuous for all real numbers f'(x) 0 on (-6, 1) and (3, ∞) f"(x) > 0 on (-∞, –6) and (3, ∞ f"(x)…

A:

Q: -8 -6 -4 -2 8 6 4 2 CH + -6- -8 16 X

A:

Q: Q. The function f and are de fined for x ER by fla) = Jatz -7, x 2 -2 %3D gla) = e^.3 a) Find an…

A:

Q: Q10] What is an entire function? Can it be analytic at infinity? Explain the definitions.

A:

Q: What is the range of the function f(x) = = x + b -, a, b = R and a, b =0? xa

A: range of fx=x+bx-a

Q: e'sin" ) *sin sech (x-2) * sech (x-2) F (x) = Explain why g(z) - 0, is not differentialble at a2. if…

A: Here, fx=exsin3πxx2sechx-23

Q: Sketch the graph of a single function that has all of the properties listed.

A:

Q: tion 8 :+2 I4 o? O Yes O No In a few sentencae, please explain how you arrived at your anawer. A- A-…

A: If the function f(x) is differentiable at x = a, then f(x) is also continuous at x = a.   The…

Q: a tunction and its first + second derivative are given below. f(x)= 3x (x+4)3 5メ+12 f"(x ) : 2 (5x+…

A:

Q: lanarithmic differentiation bo find desivative of the function. (x+)"(x-s y= (x-3).

A:

Q: x *-ly Find whether f(=) = x* +y° is analytic or not

A:

Q: 1 of f(z): is z2+2z+2 %3D

A:

Q: (b) Use the Fundamental x² :) = ( 4 – t) 1 F(x) = S(4 Chly appr Theorem of Calculus to calculate…

A:

Q: Q5) Find f'(x). Also evaluate f'(1) and f'(2) Also defined Function is Increasing or decreasing at…

A: Formulae used: ddxxn=nxn-1ddxC=0 Where C is a constant. Chain rule of differentiation:…

Q: 6. Sketch the graph of a function having the indicated characteristics on the domain [-5,5].…

A:

Q: Sketch a graph of a function f that is continuous on (-∞0,00) and has the following properties.…

A: CONCEPT: Increasing/Decreasing Functions: The derivative of a function may be used to…