Find the value of c in the interval [1,5] for Rolle's theorem can be applied to f(x)=3x62-18x+15
The mention of Rolle's theorem suggests that there is a turning point (i.e. zero slope) at x = c in the interval [1, 5].
f(x) = 3x^2 - 18x + 15 take the derivative and set this ro zero.
df/dx = 6x - 18 = 0
Therefore, x = 3
Answer: c = 3