h(x) = x2 – 2x (a) Find the average rate of change from 2 to 4. (b) Find an equation of the secant line containing (2, h(2)) and (4, h(4).

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A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

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A: To find the derivative of a function at a point (-9, 9) in the direction in which the function…

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

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Q: Find the average rate of change of f(x)=x² – 5x from: x, =-1 to x, = 3

A: We will find the average rate of change of the function.  We know,  the average rate of change =…

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Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

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A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

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Q: Find the derivative (x) = 2 In x – Vĩ

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Q: Find the average rate of change of h1x2 = x2 - 2x + 3:(a) From - 1 to 1(b) From 0 to 2(c) From 2 to…

A: Since it is known that the average rate of change can be calculated using the formula…

Q: 3. Tak-gu baked 10 loaves of bread in 1 hour. After that, he baked a dozen of bread in 80 minutes…

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A: Given: Let f and g be two differentiable function at point x.

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Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

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Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3…

A: Second derivative of5x2+1 is  d2dx25x2+1

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Q: What is the average rate of change of f(x)= x2 -2 on the interval [-1,3]?

A: