For , let . Which value of in satisfies…

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

For

0\le x\le 3

, let

f(x)=x^{3}-6x^{2}+9x

. Which value of

c

in

(0,3)

satisfies

f'(c)=0

? (a)

c=2

(b)

c=\dfrac{3}{2}

(c)

c=1

(d)

c=\dfrac{5}{2}

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