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

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Determine the local maxima and local minima of f(x)=x^3-6x^2+12x-8 is

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  2. Show that the angle between the tangent at any point P and the line jo...

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

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  4. The angle between the tangents to the curves y=x^2a n dx=y^2a t(1,1) ...

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  5. Prove that f(x)=(sinx)/x is monotonically decreasing in [0,pi/2]dot

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  6. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

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  7. Show that the function f(x)=4x^3-18x^2+27x-7 has neither local maxima ...

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  8. The angle formed by the positive y - axis and the tangent to y=x^2+4x-...

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  9. Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)

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  10. The abscissa of the point on the curve sqrt(x y)=a+x the tangent at wh...

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  11. Find the derivative of the function given by f(x)=(4sinx-2x-xcosx)/(2+...

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  12. The coordinates of the point(s) on the graph of the function f(x)=(x^3...

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  13. Let f:[a-> b] be a function such that for c in (a , b),f^(prime)(c)=f^...

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  14. Which of the following pair(s) of curves is/are orthogonal?

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  15. If (2, 3, 5) is one end of a diameter of the sphere x^2+""y^2+""z^2...

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  16. Let the parabolas y=x(c-x)a n dy=x^2+a x+b touch each other at the poi...

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  17. Prove that the following functions are strictly increasing: f(x)=log(1...

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  18. Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a(2)x^(2)+a(1)x, "where" a(i),s...

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  19. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

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  20. If there is an error of k % in measuring the edge of a cube, then the...

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