Find the minimum value of x for which a maxima is obtained at P.

Find the value of theta for which a maxima is obtained at P.

Minimum value of cos x + sin x is obtained at

Using calculus find the values of x for which the value of cos x is minimum and maximum , also find its minimum and maximum value.

Find the value of x for which the following expressions are minimum. Also determine their minimum values. x^2-6x+40 .

Find the (absolute) maximum and minimum values of the following functions in the indicated intervals also find points of (absolute) maxima and minima. f(x) = x^3 - 3x^2 + 3x + 8 in (0,10)

Find the (absolute) maximum and minimum values of the following functions in the indicated intervals also find points of (absolute) maxima and minima. f(x) = (x-2)sqrt(x-1), 1 le x le 9