Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ + 3x² − 12x + 1 12 12

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Q: 6. Convert: a) Coordinates of point D(-1,-5) to polar coordinates, r> 0 and 0 <0<2n.

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A: Linear approximation formula f(x) = f(a) + ( x-a )f'(a) Given f(x) = 3x + 4

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A: for critical points  f'(x)=0d dx(xn)=nxn-1

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: we need to find out the first 6 terms and its limit.

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A: Topic- Area of shaded region We are given  Right triangles AOB and COD are inscribed in circle O ,…

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A: By Quotient Rule ∂∂xuv=v∂u∂x-u∂v∂v2

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Q: (c) Find the value of √a²-x² [₁ 2(x + y) x² + y² giving your answer in terms of a. 1+ -dx dy,

A: The given integral is:∫0a2-x2∫-aa 1+2(x+y)x2+y2 dx dy