Find the first and second order derivative of the function, F(x)= 3x^3 - 7 + 5x^2, and then identify the maximum or minimum points.
F(x)= 3x3 - 7 + 5x2
i) F'(x)= 33x2 + 25x
F'(x)= 9x2 + 10x
ii) F''(x)= 2*9x + 10
F''(x)= 18x + 10
iii) for maximum or minimum points (stationary points) F'(x)=0 9x2+ 10x = 0 x * (9x + 10) = 0 x = 0 or 9x + 10 = 0x = 0 or x = -10/9
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