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A curve with equation of the form y=a x^...

A curve with equation of the form `y=a x^4+b x^3+c x+d` has zero gradient at the point `(0,1)` and also touches the `x-` axis at the point `(-1,0)` then the value of `x` for which the curve has a negative gradient are: `xgeq-1` b. `x<1` c. `x<-1` d. `-1lt=xlt=1`

A

`x gt1`

B

`x lt 1`

C

`x lt -1`

D

`-1 le x le 1`

Text Solution

Verified by Experts

The correct Answer is:
C
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