Question: In below Problems a function and its first and second derivatives are given. Use these to find relative maxima, relative minima, and points of inflection;

In below Problems a function and its first and second derivatives are given. Use these to find relative maxima, relative minima, and points of inflection; sketch the graph of each function.

1.

f(x) = 3x5 – 20x³ f'(x) = 15x²(x – 2)(x + 2) f

2.

f(x) — х5 — 5х4 f (x) %3 5x°(х — 4) f — 3)

3.

f(x) = 3x5 20x f'(x) = 15x(x 2)(x + 2) f"(x) =

4.

60x(x 2) f(x) 5 54 f (x) %3 5x( 4) f 3)

f(x) = 3x5 20x f'(x) = 15x(x 2)(x + 2) f"(x) = 60x(x 2) f(x) 5 54 f (x) %3 5x( 4) f 3) "() 3 20?(

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