For the function f(x) = x² – 4 at the point (4, 12), find: a. the slope of the curve using the definition b. the equation of the tangent line c. the equation of the normal line

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A: Given  fx =9x2-x3  Differential both sides w.r.t x and using ddxxn=nxn-1

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A: On solving this we will get

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Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

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Q: If f(x) = 9x2 – x³, find f'(1) and use it to find an equation of the tangent line to the curve y =…

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Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…

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Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: For the function y= In(x² – 2) , the slope of the tangent at x = 2 is

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