The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV.

Q: Given function: y = x* – 4x3 +2

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Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

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Q: Set Y1 = ex and use your calculator’s derivative command to specify Y2 as the derivative of Y1.…

A: Consider the function: y1=ex.   Calculate the derivative of the function y1=ex and let it be y2.…

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o,…

A: Given that:                    f(x) has a positive derivative over (-∞, 5) and (-5, 4) and a…

Q: Find the derivatives of the functions in Exercise

A: The given function is u=5x+12x.

Q: 2. Which of the following represents the derivative of the function: (1 Point) 2ty %3D

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Q: Graph the first and second derivatives of the given function: f(x)= x3+ 2 x2 - 3x

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: