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Find the intervals in which the function...

Find the intervals in which the function f given by `f(x)=x^(2)-4x+6` is
(a) Increasing
(b) Decreasing

Text Solution

Verified by Experts

The correct Answer is:
Function f (a) Increases in `[2, oo)`, and (b) Decreases in `(-oo, 2]`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Show that the function f given by f(x)=x^(3)-3x^(2)+4x, x in R is incr...

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  2. Prove that the function given by f (x)=cos x (a) Decreasing in (0, ...

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  3. Find the intervals in which the function f given by f(x)=x^(2)-4x+6 is...

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  4. Find the intervals in which the function f given by f(x)=4x^(3)-6x^(2)...

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  5. Find intervals in which the function given by f(x)=sin 3x, x in [0, (p...

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  6. Find the intervals in which the function f given by f(x)=sin x + cos x...

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  7. Find the slope of the tangent to the curve y=x^(3)-x at x = 2.

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  8. Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has it...

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  9. Find the equation of all lines having slope 2 and being tangent to the...

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  10. Find points on the curve (x^(2))/(4)+(y^(2))/(25)=1 at which the tange...

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  11. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3)) at ...

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  12. Find the equations of the tangent and normal to the curve x^((2)/(3))+...

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  13. Find the equation of tangent to the curve given by x=a sin^(3)t, y=b c...

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  14. Use differential to approximate sqrt(36.6).

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  15. Use differential to approximate (25)^((1)/(3)).

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  16. Find the approximate value of f(3.02), where f(x)=3x^(2)+5x+3.

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  17. Find the approximate change in the volume V of a cube of side x meters...

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  18. If the radius of a sphere is measured as 9m with an error of 0.03m, th...

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  19. Find the maximum and the minimum values, if any, of the function f giv...

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  20. Find the maximum and minimum values of f, if any, of the function give...

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