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
ID
Related Maths IB answers
All answers ▸If the fourth term in an arithmetic sequence is, u4 = 12.5, the tenth is u10 = 27.5. Find the common difference and the 20th term.
find the inverse function of the following: f(x) = 3x-5
Given 1/2 + 1 + 2 + 2^2 + ... + 2^10 = a*2^b + c, find the values of a,b,c.
What is proof by induction and how do I employ it?