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Find the points at which the function f ...

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

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. A window is in the form of a rectangle surmounted by a semi-circular o...

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  2. A point on the hypotenuse of a triangle is at distance a and b from th...

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

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

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

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  6. Find the absolute maximum and minimum values of the function f given b...

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  7. Show that the altitude of the right circular cone of maximum volume th...

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  8. Let f be a function defined on [a, b] such that f'(x)>0 for all x in ...

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  9. Show that the height of the cylinder of maximum volume that can be ins...

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  10. Show that height of the cylinder of greatest volume which can be inscr...

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  11. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

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

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  13. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

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  14. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

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  15. The normal to the curve x^2 = 4y passing (1,2) is:

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  16. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

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  17. The rate of change of the volume of a sphere w.r.t. its surface area, ...

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  18. Fill in the blanks: Derivative of sin x w.r.t cos x is …………… .

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  19. Fill in the blanks: The side (Variable) of a square is x, then the r...

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  20. Fill in the blanks: The slope of the tangent to the curve y^2 = x^3 ...

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