In each question, draw the phase diagram (i.e. the graph with stationary points and arrows), determine the stationary points, and classify each one as stable, unstable or seminstable (by considering the sign of the derivative of the right-hand side). 1. i = -x + 1 2. i = 2x – x² 3. i = -x(1+x)(2 – x) 4. i = x² – x4 5. i = x²(4 – x²)

Q: 3. y = xVx 4. у%3D 3x2 - 5x+2 5. у%3-14х-10

A: Use the formula ddxxn=nxn-1 1. Given function is, y=4x3. Now, differentiate this function with…

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A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: y=57x3+1-3

Q: Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

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Q: Find the derivatives of the functions

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Q: 2. Match the functions with its graph. y = Vx – 3 b. y = 3 vã c. y = v – 3 d. y = v-x+ 3

A: Part a,Given,         The function is y=x-3.

Q: Find all derivatives of the function y=1/2x−3.

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Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

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Q: The graphs of y = a-xand y = a (1/a)x are identical. Why

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: I. Find the derivatives of the following functions: 4. -3xy? + 5x²y² = 2x² %3D

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