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Find the absolute maximum and minimum va...

Find the absolute maximum and minimum values of the function f given by `f(x)=cos^2x+sinx ,``x in [0,pi]`

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`f(x)=cos^2x+sinx`
`f'(x)=-2cosx sinx + cosx`
`text(Putting this to zero, we get)`
`-2cosx sinx + cosx = 0`
...
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NCERT-APPLICATION OF DERIVATIVES-MISCELLANEOUS EXERCISE
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  2. Find the absolute maximum and minimum values of the function f given ...

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  3. Show that the height of the cylinder of maximum volume that can be in...

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  4. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

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

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

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

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

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

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  11. Find the intervals in which the function f given byf(x)=(4sinx-2x-x co...

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  12. Find the intervals in which the function f given by f(x)=x^3+1/(x^3), ...

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  13. Find the equation of the normal to curve x^2=4ywhich passes through t...

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  14. Show that the normal at any point thetato the curvex=acostheta+athetas...

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  15. Show that the function given by f(x)=(logx)/xhas maximum at x = e.

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  16. The two equal sides of an isosceles triangle with fixed base b are de...

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  17. Find the maximum area of an isosceles triangle inscribed in the ellip...

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  18. A tank with rectangular base and rectangular sides, open at the top ...

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

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  20. The line y = m x + 1is a tangent to the curve y^2=4xif the value of m...

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