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If f(x)=x^5-5x^4+5x^3-10 has local maxim...

If `f(x)=x^5-5x^4+5x^3-10` has local maximum and minimum at `x=p and x=q` , respectively, then `(p , q)=` (a) `(0,1)` (b) (1,3) (c) (1,0) (d) none of these

A

(0,1)

B

(1,3)

C

(1,0)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
2
`(dy)/(dx)=5x^(2)(x-1)(x-3)=0`
`therefore x=0,113` ltrbgt Clearly x =0 is neither a point of maxima nor a point of minima as derivaltive does not change sign at x=0
x=1 is a point of maxima and x =3 is a point minima
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