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Let f(x) a twice differentiable function...

Let f(x) a twice differentiable function in [a,b], given that f(x) and f''(x) has same sign in [a,b].
Statement I f'(x)=0 has at the most real root in [a,b].
Statement II An increasing function can intersect the X-axis at the most once.

A

(a)Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.

B

(b)Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

(c)Statement I is true, Statement II is false

D

(d)Statement I is false, Statement II is true

Text Solution

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The correct Answer is:
A
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