Q4 Let f(2) = 2-3r- 12r +7 a) Calculate f'(x) and f"(r). b) Find the critical number(s) and the increasing and decreasing intervals of function f(r). c) Find the inflection point(s) and the intervals when f (x) is concave down and f (x) is concave up.

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A: According to product rule of differentiation and according to power rule of differentiation .

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Q: Q3) If f(z) is analytic function and u(x, y) = x3 – 3xy find f(z)

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A: Given,

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A: (i) fx=5x+7 This function is state line and has roots is x=-75

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A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

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Q: Let f(x) = 2x³ +1. a) Find f(x + h): b) Find f(x + h) – f(x): c) Find fe+h)-f(x). d) Find f'(x):

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Q: The critical point of the function f(x) = x³ – 5x² + 2x – 17 is %3D - o (용, 1) ㅇ (름, 1) o (음,-1) (금,…

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Q: II. find (f qJlx) गंला f(x)=x²+2 and and its

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A: Given,  f(x)=3e-x2