Find the value of c in the interval [1,5] for Rolle's theorem can be applied to f(x)=3x62-18x+15

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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

by Level 11 User (81.5k points)

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