What is the equation of the function that is obtained from f (x) = ⎷x by shifting 1 unit to the right and 2 units down?

Q: State the derivative. Do not simplify. f(x) = = x² +3 R

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Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

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Q: f (x) = 2л2 + 5

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Q: Find the derivative. 2 f(x) = 8√2x +9 f'(x) = [

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Q: F(X) = X + よ2 %3D

A: Given, fx=x+3x2

Q: Consider the function f(x) whose second derivative is f”(x)=5x+2sin(x). If f(0)=4 and f’(0)=4, what…

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Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: What is the slope of the line tangent to the graph of f (x) = 2x2e" at x = -2? Express your answer…

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Q: Find the derivative of the function f(x)=(2x-7)/(3x-2)

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Q: 2х-9 F(x)% = %3D 4х

A: We have to find the definition of the derivative to find f(x). By the definition of the derivative,…

Q: -Find the range of the function y = 2 - sin3x

A: Introduction :

Q: Find the third derivative if the function. 15. f(x)= 1/x

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Q: Find the derivative of the function by quotient rule. 3x+7 f(x) = %3D 5x-2 Answer:

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Q: Find the higher-order derivative. f(4)(x) = (x² + 6)² f(6) (x) =

A: Finding the 6th derivative, given the fourth derivative.

Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

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Q: Find the derivative of the function. f(x) = x2(x − 2)7

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Q: Find the derivative of function defined as follows.

A: y=8x3-5x2-x12

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= x² + √x at x=1?

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Q: Find the derivative of the function. f(x) =  7x (x3 − 4)2 f '(x) =

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Q: |(9-x)³ x² – 2 9. f(x) = In -

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Q: Use the definition of the derivative to find f fx) = 2/(x + 3)

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Q: fx)=5x²-2

A: The given function is: f(x)=5x2-2

Q: Tryto guess functions that have the following as their derivatives. 2x

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx;…

A: To determine equation of tangent line at given point.

Q: Find the derivative of the function. F(x) = (3x5 + 4x3)4 F'(x) =

A: Given, F(x)=3x6+4x34 To find F'(x).

Q: The derivative of the function f(x) = 3* is 3* Select one: True False

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Q: Find the equation of the function f whose graph passes through the point ( 0, and whose derivative…

A: Given :

Q: Find the derivative of the function. f (x) = (x 4  + 3 x2  - 2) 5

A: The given function is f (x) = (x 4  + 3 x2  - 2) 5

Q: Find the derivative of the function. f(x)= (x2+6/x)5

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Q: Find the derivative of the function. F(x) = (5x6 + 8x³)4 F'(x) =

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Q: f (x) = 5x* f(x) %3D 12x5—4х4

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Q: Use the definition of the derivative to find f(x) if f(x)= x/(5x+2).

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Q: What is the value of the derivative of f(x) = (x-2)(x² +1)³ est x=1?

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Q: Use the second derivative test to find the extreme values of the function 49 f(x) = 25x +

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Q: Find the derivative of the function. f(x) = 9x2 (x − 6)

A: We have to find the derivative of the function

Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: Find the derivative f(x)=sech^2*3x

A: This is hyperbolic function so use its respective properties with the help of chain rule of…

Q: By using the definition of the derivative find to f'(x) 3. 3x

A: our objective is find the derivative

Q: Use the shortcut rules to find the derivative. f(x) = ;nx° 7

A: Consider the given function is, f(x)=47πx6 Since. 47and π are constant and the function is for x…

Q: Explain how to find the derivative of the function f(x) = cxn .

A: we have to explain how to find the derivative of the given function f(x)=cxn

Q: Find the derivative. f(x) = 8/2x + 9 f'(x) =

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Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: Find the derivative of the function (2а — 5) (5ӕ — 4) - f(æ) : 9x2 – 2 f'(x) =

A: The objective of the question is determine the derivative of the given function.

Q: Use the definition of a derivative to find f ′ (x). f (x) = 2 − 3x

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Q: Find the derivative of the function. f(x) = ( x/√x + 5)3

A: It is given that,fx=xx+53. We have to find the derivative of the function.

Q: Find the derivative of the function. F(x) = (9x6 + 4x3y4 F'(x) =

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Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

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Q: Find the derivative of the function f(x) = (2x² + 5æ + 2)° at æ : - 2)* - 1 f'( – 1) = 3

A: Given :f(x) = (2x2+5x+2)3 at x = -1First we will find the derivative of the f(x)