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Find the intervals in which the given fu...

Find the intervals in which the given function is strictly increasing : `-2x^3-9x^2- 12x+ 1`

Text Solution

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`f(x)=-2x^2-9x^2-12x+1`
Differentiate with respect to x
`f'(x)=-6x^2-18x-12`
`=-6(x^2+3x+2)`
`=-6[(x+2)(x+1)]`
putting `f'(x)=0`
`-6[(x+1)(x+2)]=0`
`x=-1,-2`
...
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