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Find the intervals in which the followin...

Find the intervals in which the following functions are strictly increasing or strictly decreasing :
`6+12x+3x^(2)-2x^(3)`

Text Solution

Verified by Experts

The correct Answer is:
strictly increasing = (-1, 2)
strictly decreasing = `(-infty, -1) cup (2, infty)`
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ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 2 MARKS
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  9. Find the equations of the normal at a point on the curve x^2=4y, which...

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  10. For the curve y = 4x^3-2x^5, find all the points at which the tangent ...

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  11. Find the value of p for which the curves x^(2)=9p(9-y) and x^(2)=p(y+1...

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  12. Find the values of 'x' for which f(x) = [x(x-2)]^2 is an increasing fu...

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  13. Determine the values of x for which the function f(x)=x/(x^(2)+1) is s...

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  14. Find the intervals in which the following functions are strictly incre...

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  15. Find the intervals in which the following functions are strictly incre...

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  16. Find intervals in which the function given by f(x)=3/10x^(4)-4/5x^(3)-...

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  17. Find intervals in which the function given by f(x)=3/10x^(4)-4/5x^(3)-...

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  18. The lengths of the sides of an isosceles triangle are 9+x^(2), 9+x^(2)...

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  19. Manufacturer can sell x items at a price of rupees Rs(5-(x/100)) each...

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