1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy x -y xy = cot(xy)

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A: We can write the answers in the following steps.

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A: I have done it step by step. The simplification is wrong.

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A: The Solution is given below-

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A: Solve for the value of y

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A: given,y=3+4x2-2x3

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A: To write the form of partial fraction decomposition for the given expression.

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A: Given query is to find the equation of the tangent line.

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A: Given function  f(x)=3if x≤55x − 6if x&gt;5To Find: function value at  f(−6)   = f(0)   =     f(5)…