Consider the function (x) = -2r (a) Using the limit definition of the derivative, find f'(1). (b) Write the equation of the line tangent to the graph of f(x) at r 1, and graph it below. S(2) = a- 2r %3D 3.

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A: We differentiate with respect to t using chain rule.

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A: Write down the limit definition of the derivative f'(x) and USE IT to find d/dx(1/x)

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A: Explanation of the answer is as follows

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A: Part A,Given,          The function is x2+y-x2=9 at x=1.

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A: Given thaty=arctanx2-1+arccscx To find its derivative

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A: By see this solution

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A: A).Givenx2+(y-x)2=9(y-x)2=9-x2y-x=±9-x2y=±9-x2+x -----{1}Taking positive of equation {1}y=9-x2+xNow…

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A: The equation given to us is