[4] (a) Use the most accurate three-point formula to determine each missing entry in the following table: | f'(x) f (x) -0.3 -0.27652 -0.2 -0.25074 -0.1 -0.16134 (b) The data in the table was taken from the function f(x) = e2a – cos 2x. Compute the actual errors, and find error bounds using the error formulas.

Q: For the function f(x) = In x 11x find f''(x). Then find f''(0) and f''(6).

A:

Q: Values for f(x) are given in the following table. (a) Use three-point endpoint formula to find f'(0)…

A: (a) The three-point endpoint formula is given as: f'(x0)=12h-3f(x0)+4f(x0+h)-f(x0+2h)+h32f(3)(ξ0)…

Q: Let f"(x) = 6x + 3x?. (a) Find the most general formula for f'(x). If an arbitrary constant must be…

A: Let's Solve,

Q: Let f(7) = -7 and f'(7) = 6. What is gʻ(7) it g(x) = 4+f(x), Enter the answer as a fraction or…

A:

Q: 5- 8 g(x) 7. 4 h(x) 6- 3 5 4 2 3 2 1 1 1 2 3 x-values 4 1 2 3 х-values If f(x) 9(x) then h(x)'…

A:

Q: Given f(x) = x², f''(1): = Give an exact answer.

A: Please see the below picture for detailed solution.

Q: Given f (10) = 4 and f '(10) 8 find the value of h'(10) based on the function below. h(x) = (f(x))³

A:

Q: 11690100 7 -.) f(x) = -x² + 6x + log3(12) 7 cos(8x) i.) f (x) = x5+3

A:

Q: Given f (9) = 2, f' (9) = 6, g (9) = -1, and g' (9) = 8, find the values of the following. (a) (b)…

A: to find the values.

Q: 2 If f'(x) = 3x2 - and X f(1) = 0, find f (x)

A:

Q: Given f(4) = 13, f '(4) = 19, g(4) = 7, and g'(4) = – 10, find the value of h'(4) based on the…

A:

Q: Determine the error term of for the formula: f'(x)  ≈ (1/4h) [f(x+3h) - f(x-h)]

A: In order to find the error term of the given expression, first find the value of f(x+3h) and f(x-h).

Q: ex - 4 f(x) x2 - 1

A: see 2nd step