Suppose the following values of f' (t) are known. f' (t) 4 1 6. 3 1 Assumingf(0) = 2, add a column to the table containing estimated values of f. f'(1) f(t) t 4 1 i 1 i 6, 3.

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

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Q: Students were asked to evaluate f'(4) from the following table which shows values of the function f…

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Q: 3. Consider the function f(x) = (g(x) – h(x)) and the following function values: g(2) = 5 h(2) = 4…

A: We have to find derivative

Q: Using the figure below, where f' (2) = 2.1.f' (4) = 3.0,f' (6) = 3.7.f' (8) = 4.2, find (f-1)' (8).…

A: Use the properties of function and its inverse than take the derivative and put the given values…

Q: Consider the function y = 2e4. Which of the following statements is true for y? O y'=y Oy = /v O…

A: given,

Q: If f(x) = /x, find f'(13). f'(13) = (Type an exact answer.) %D

A:

Q: Suppose that F(x) = f(g(x)) and g(14) = 2, g'(14) = 5, f'(14) = 15, and f'(2) = 12. Find F'(14).…

A: Explanation:

Q: If f(x) = 21, find f'(– 10).

A:

Q: 2. Given f(x)=x-6, determine whether f'(6) exists.

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Q: Let f(x) = -9x¬4 find f'(2). Select one: O a. - O b. 32 36 32 O d. 16 36 32 9/2

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Q: Find f'(w) for the function. 8w7 - 9w5 f(w) = 7w5 f'(w) = %3D

A: differentiate f(w) with respect to w

Q: Let f(x)= 4x-1, h(x)= -x+4. Find (fo h)(-2). (foh)(-2) =

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Q: Find f. f"(t) f(4) = 10, f'(4) = 5 f(t) =

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Q: Find the derivative of each function defined as follows: 1. y (2x3 + 9x)5 2. f(x) = -7(3x* + 2)-3 3.…

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Q: Question 1 (10 Marks): Calculate of given function f(x,y) = ye**. əx²əy³

A: Definition used -       Partial derivative -             In partial derivative, we differentiate…

Q: 3. Consider the following table of values for two functions f and g: X 1 2 3 4 f(x) 2 4 1 3 f'(x)…

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Q: №.4 Find f¹(4.8) and f" (2.2) for the follo data in the below table. Ⓒ Find J fixi dx O X 0 1 2 3 4…

A: Introduction: The formula of Newton's forward difference interpolation is given by…

Q: Consider the function h(z), for which h(4) = -12 and h'(4) = -7. %3D h(z) Find f'(4) for the…

A: To Determine: find f'4 Given: consider the function h(x) for which h4=-12 and h'4=-7 also…

Q: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

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Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: Provide the table of signs for both f' and ff'.

A: Given function is fx = x+334x-12 = x4 +12x-1+16x-12 +114. Also, given that f'x = x-9x+324x-13    and…

Q: + x² − 5e³, find ƒ'(x). If ƒ(x) = 4eª + x² 4eª

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Q: If ƒ(t) = (t² + 2t + 2) (3t² + 5), find: f’(t) = ƒ'(5) =

A: given,  f(t)=(t2+2t+2)(3t2+5)

Q: Find (f1)'(3) given the following table of values. f(z) f'(z) 3 1

A: The given table is, x fx f'x 2 3 1 This means that, At x=2,   fx=3   and  f'(x)=1. That is,…

Q: 4. Consider the graph of a polynomial function below. 2 1 -2 -1 2 4 x -1 -2 a) State the domain and…

A: As you post multiple questions According to guidelines I only solve the first one .

Q: Find the following using the table below. 1 2 3 4 f(a) f'(x) g(x) g'(x) 2 3 1 4 4 1 3 3 4 2 4. 1. 2…

A: Given that h(x)=f(x)g(x) h(x)=f(x)/g(x) To find h'(3)

Q: Differentiate the following function. f(x) = 6 +5x+4ex f'(x) =

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