Suppose that the values of a smooth function f are known for x = -0.15, –0.1, 0,0.1, 0.15 and 0.2. Given the following formulas for approximating f'(x) -11f(x) + 18f(x + h) – 9f(x + 2h) + 2f (x + 3h) f'(x) % (M1) -2f(x – h) – 3f(x) + 6f(x + h) – f(x +2h) S'(x) & (м2) 6h f'(x) f(x – 2h) – 6f(x – h) + 3f(x) + 2ƒ(x + h) 6h (м3) f'(x) -2f (x – 3h) + 9f(x – 2h) – 18f(x – ħ) + 11f(x) 6h (M4) Which one of the above formulas will best approximate f'(0.1)? O M1 O M2 O M3 O M4

Q: If ƒ(x) ƒ'(x) = - 53 x - 7' what's f'(x)?

A:

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

A:

Q: 2. [4 points] Find the derivative of the following function. 1+2x f(x) 3-4x

A:

Q: f(x) = (x² + In x)(x³ + 4x + 5) f(x) = (x2+5x) In x (Vx-6x)e* %3D

A: We have to find the derivative for each of the functions. 1. fx=x2+lnxx3+4x+52. f(x)=x2+5xlnxx-6xex

Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

A:

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

A:

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

A:

Q: Is the function given by g(x) = x²-3x continuous at x = 4? Why or why not?

A:

Q: Q1/ find the derivative of the following function 5x? + 2x+3 f(x) =

A: Explanation of the solution is given below...

Q: If f'(x) = (2-2x)e(1-x), which of the following statements is true about the graph of f(x)? Select…

A:

Q: 1. Find f"(r) for the following functions. 1 (a) f(r) = %3D f"(x) = %3D (b) f(r) = r³/2 – 5x %3D…

A: Given:  a) fx=1x2             =x-2       f'(x)=ddxx-2   Apply power rule xn'=n·xn-1…

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: -2 -1.5 g(x) --1 -0.5 a 1.5- -1- -0:5- --0:5- -1- -1.5- -2- f(x) 0.5 g(x) 1.5 2

A: We have to find value of differentiation of h(x) at mentioned x values x= 0,1.5, -0.5 and find the…

Q: If F(x)= 27 0<x <3 then pdf f(x): 9. .2 9X II

A: F(X)=x327 , 0&lt;x&lt;3we have to find probability density function.

Q: f(x) = (4x² + 3x)² h(x) = 7 (4x³ - 6x²)³ b) d) g(x)=√10x² - 5x y = 1 3/(x ³√(x + + 5)²

A: We have to find out derivative for different functions.

Q: {1 - - :n e N}. Find all cluster points of (a) Let A be the subset of R defined by A := (-1)" A and…

A: Hi! You have posted multiple questions. We will be answering only the first question as per the…