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Find the points at which the function `f` given by `f(x)=(x-2)^4(x+1)^3` has local maxima local minima point of inflexion

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The correct Answer is:
local maxima at `x=(2)/(7) ` (ii) local minima at x =2 (iii) point of inflection at x = –1
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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.6
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  5. A tank with rectangular base and rectangular sides, open at the top...

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  6. The sum of the perimeter of a circle and square is k, where k is so...

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  7. A window is in the form of a rectangle surmounted by a semicircular...

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  8. A point on the hypotenuse of a triangle is at distance a and b from t...

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  9. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

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  10. Find the absolute maximum and minimum values of the function f give...

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  11. Show that the altitude of the right circular cone of maximum volume...

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  13. Show that the height of the cylinder of maximum volume that can be ...

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  14. Show that height of the cylinder of greatest volume which can be insc...

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  15. A cylindrical tank of radius 10 m is being filled with wheat at the r...

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  16. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

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  18. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

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  19. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

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