What is the value of In[f'(2)]if f(x) = e*? O Option 2 O Option 4 2e

Q: x if x20 If Ax) = -x2 then f'(0) if x <0

A: Given function, fx=x2      if x≥0-x2   if x&lt;0

Q: For which values of x is f ' (x) &lt; 0?

A: Given,

Q: Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

A: To find out f'(x) and f"(x).

Q: Suppose that f(x) Evaluate each of the following: f'(3) = %3D f'(-1) =

A: Given function is : fx=3x9 The given function can be written as : fx=3x-9

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: If f(x) = 6*, then f"(x) = A 6*(In6)3 B 6*(In6) (c) 6* 66 D (In6)3

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Q: If Fc{e¯a#} = a²+p² ' find the F's{-a e a"}

A: Given Fce-ax=pa2+p2

Q: -35 Find s?(s°+4)

A: We will find out the required value.

Q: Differentiate the following function: VP - 4V U = u =||

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Q: If 1 f(x) 1 .3 + 1 + x 4 X° + 3 then find f'(0) +

A:

Q: 12x + 10 Suppose that f(r) = Evaluate each of the following: f'(-2) = 5/2 %3D f' (5) = %3D

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Q: Let f(x) f'(2)= | ƒ' (6)= Lomm 7 Vx Evaluate each of the following: I

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Q: 16. Differentiate. f(x) = et %D ex+x

A: differentiating both sides with respect to x and solve the question. see 2nd step.

Q: The number of representatives of a political party, N, in a city council depends on the percentage…

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Q: '5 Find | f(x) dx if 3 if x < 3 f(x) %3D if x 2 3.

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Q: Differentiate. f(x)=In(12x)

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Q: Suppose that...

A: We are given: f(2) = -3 , g(2) = 4 , f'(2) = - 2  and  g'(2) = 7  Now, based on the given four types…

Q: du _ dv dy dx If f(z) =z²+z - ,2

A: Take z= X+iY and proceed

Q: Find the exact value of cos105∘cos⁡105∘ using the fact that 105∘=135∘−30∘105∘=135∘−30∘.

A: We have to find the exact value of cos 105° using the fact that 105°=135°-30°. We know the identity,…

Q: 2 9. If f(x) =-(x- 5), determine the following %3D 3 f(17)- f(8) а) 17-8 (12)- f (4) b) 12 - 4

A: The given function    f(x)=23x-5

Q: O True O False (ƒ · g)' = ƒ' · g'

A: Given query is to find statment is true or false

Q: Let f(x) = e*. What is f' (3)?

A: Differentiate wrt x

Q: Explain what it means if a' . b = 0

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Q: *+ 3x² + 2 If f(x) = then f'(1) = 0 3 O 7

A: Differentiate wrt x

Q: The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-

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Q: Let f(x) = 2 – 2², x > 0 f'(x) = Preview

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Q: How do I find sin Q, cos Q, and tan Q with these values: p = 12 q = 35 r = 37

A: The figure of a triangle with side lengths p = 12, q = 35, r  = 37 is  To evaluate : The values of…

Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.

Q: If F = 9. (°C) + 32 then 285 °C = F.

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Q: 03: Let S(x)=12-x-1|-1. -1. Find f"(0) and Find f'(4)

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Q: Suppose f(r) = (In z)e. What is f'(x)?

A: d/dx (f(x)g(x))= f(x)g'(x)+g(x)f'(x)

Q: 7 f(x) = 2x' + х— 2 + f'(x) = 2.

A:

Q: y 5 4 f(x) 3 g(x) 2 2 3 4 -1 1. 1.

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Q: 4. Find F'(8) if F (x) = x

A: