a. y = x5 – 0.125x² + 0.25x b. y = 2 tan²x – sec²x

Q: 1. Find y'. y = x² In(tan-1(2x))

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A: given,  y=cos(pi tanx)6  at x=π2

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

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A: topic -first and second order derivative

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A: Given- y=2sin2x To Rewrite- The above function in the expansion form. Formula Used- sin2x=2sinx·cosx

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

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A: To solve the equation

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Q: Solve dy/dx = tan2(x+y)

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Q: Use the graph of y = 2 sin 2x in the figure to obtain the graph of y = 2 csc 2x.

A: The function of the given graph is y=2sin2x. Since, y=sinθ and y=cscθ are reciprocal to each other.…

Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

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A: the question is taken from the derivative in which we have to find the derivative of the given…

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A: Given problem:- y=5x-6tan(x) , (-π/2, π/2)  Determine the open intervals on which the graph is…

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A: According to Bartleby guidelines we can only solve 1 question

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A: We have to find the right end point of the following expression   The given expression is  we…

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A: We have to integrate each term with respect to x to get the final answer.

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A: topic - integration

Q: y = sin (tan 3x) -1

A: Using derivative of composite functions.