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

Q: Differentiate. ax + b f(x) %3D Cx + d f '(x) =

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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: Using the figure below, where f' (3) = 2.1.f' (6) = 3.0,f' (9) = 3.7,f' (12) = 4.2, find (f-1)'(12).…

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Q: Differentiate. x2 -9 f(x) = In f'(x) = O

A: Explanation: Given that,  f(x)=lnx2-9x

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

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Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Find f(x) if f'(x) =2/+.

A: The derivative of f(x) is given, so to find f(x) we need to integrate f'(x)=2x+5x6. The integration…

Q: Let f(z) = (3z + 8) %3D 6. f'(z) = (3x 8)4 6. f'(3) = (3x 8)4

A: See the details solution in below

Q: Let x +3 f(x) = x + 7 f(-2) = %3D

A: Solution )

Q: If 11 +3f(x) + 8x²(f(x))' = 0 and f(1) = -1, find f' (1). f'(1) =

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Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: Find f'(a). f(x) = 7x - 8x + 6| %3D

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Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: 1 If f(6) = 26 and f is one-to-one, what is f'(26)? r(26) = O

A: Given  f(6) = 26  Find f-1(26) , if f is one one function.

Q: Given f'"(x) 3x- 1 and f'(-3) = 5 and f(- 3) = 2. | Find f'(x) = and find f(2) = %3D

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Q: Find y' if x' = y*

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Q: Compute f' (3). f (x) = -3.3x2² + 3.9 O f' (3) = -6 O f' (3) = -3.3 O f' (3) = -15.9 O f' (3) =…

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Q: Find f'(2) if f(x) = est) and g(x) %3D +

A: Consider the given function fx=egx and gx=∫2x11+t4dt First find the value of g2 g2=∫2211+t4dt=0

Q: Find f '(x). f0) = (+4)5 f(x) f '(x)=|

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Q: а. f(x) %3D х3 In x + cos x b. f(x) %3D logs(3х3 + 2х + 1) ((5х+1)6 Vx2+x с. f(x) %3D In

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Q: F(x)=-4cosx-9tanx , f’(4pi/3)= ___

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Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

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: 4x 6x + 7x 3 If f(x) find f'(x) 24

A: f(x)=xn f'(x)=nxn-1 f(x)=1 f'(x)=0 f(x)=4x5-6x4+7x3x4

Q: Find f '(x) and F "(x). (x) = 5+ 2x 10x + 2x f'(x) %3D (5 + 2x)? 10 - 4x f "(x) (5 + 2x)?

A: Given:

Q: Suppose f(x) = 4nx?e-Tx -e-n for all x € R. Show that f = -f. %3D

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Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

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Q: Evaluate f(1/2) for the function f(x)=e^x+1

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Q: 5x2 + 5x + 5 Find f'(9) if f(x) = f'(9) = %3D

A: Solution: The objective is to find the derivative of the given function at the given point