? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy. The contour map should have x and y in [ – 2, 2]. What is the point where the tip of the gradient ends? - (Give the point in traditional notation.) Hint

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A: Topic = Derivative

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A: You must have an idea about to how to find relative maximum or minimum using critical points.

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A: To find out the relative extrema and saddle points.

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A: Given

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A: Given y=4cot(3-2x)To find dydx:

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A: Since you have posted multiple questions which are not interlinked i can do first question(area-A)as…

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A: A detailed solution is given below.

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A: Above question is solved.

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A: The answer is given below:

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A: Given y=x[lnx-1]To find dydx:

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Q: Question 4 (a) Solve the following: √4x² dx (b) Explain with the aid of a sketch how this value can…

A: Let's solve given integral.

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