3) Use the definition of the derivative (which involves limits) to calculate f'(2) given that f(x) = (x - 2)² +5. No shortcuts. To get credit, you must use the definition and show all work clearly. Be sure to use complete notation and put limits where necessary

Q: f(x) = x² - 2x + 1

A:

Q: f(x) = 3x² - 5x+21

A: SOLUTION-

Q: 5 8 72 ex

A: Given f( x ) = ( x )72ex5

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Q: Find the derivative for this question correctly

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Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

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A: We have to find derivative of given function.

Q: a).Find x value where the graph has a horizontal tangent line. f(x) = x^3 + x Using the fact that…

A: The given function is  f(x) = x3 + x Differentiate with respect to x , we get f'(x) = 3x2 + 1

Q: b. g(x)=√x + ²3 marks) X

A: The solution is given by

Q: 34. Draw the graph of the derivative. The graph of f (x) is provided.

A: Given

Q: / Discuss the relationship between the derivative and (Lim) with drawing if it is required?

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A: We need to evaluate the derivative of the following function -8sin(x)+23x4+6

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A: To find: the derivative of f(x)

Q: Please find the derivative of the algebraic function below using the Quotient rule. No chain rule…

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