5740

Mathematics Integration Level: Misc Level

Find the (absolute) maximum and the (absolute) minimum values of the following function in the indicated intervals. Also find the points of (absolute) maxima and minima

f(x) = (x-1)2 + 3 in [-3,1]


5739

Mathematics Integration Level: Misc Level

Find the maximum and the minimum values (if any) of the following function 

f(x) = Sin 2x + 5

 


5738

Mathematics Integration Level: Misc Level

Find the maximum and the minimum values (if any) of the following function

f(x) = |x + 2| - 1


5737

Mathematics Integration Level: Misc Level

Find the maximum and the minimum values (if any) of the following function

f(x) = - (x-1)2 + 10


5730

Mathematics Integration Level: Misc Level

Find the interval in which f(x) = x2e-x is increasing

 


5729

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = x4 - 4x


5728

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x)=x+\frac{1}{x},x\neq 0


5727

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = 2x3 - 3x2 - 36x + 7


5726

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = x2 - 4x + 6

 


5725

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x)=\frac{4Sinx}{2+Cosx}-x is increasing in \left [ 0,\frac{\pi}{2} \right ]


5724

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x) = Sin x is

(i)  strictly increasing on \left ( 0,\frac{\pi}{2} \right )

(ii)  strictly decreasing on \left ( \frac{\pi}{2},\pi \right )

(iii)  neither increasing nor decreasing in (0,\pi)


5723

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x) = log Cos x is strictly decreasing on \left ( 0,\frac{\pi}{2} \right )


5722

Mathematics Integration Level: Misc Level

Show that the function f given by f(x) = x3 - 3x2 + 4x, x\epsilonR, is strictly increasing on R


5721

Mathematics Integration Level: Misc Level

Show that the function f(x) = log x is strictly increasing


5719

Mathematics Integration Level: Misc Level

Show that the function f(x) = 7x -3 is strictly increasing on R


Displaying 31-45 of 195 results.