Question -
Answer -
Given f (x) = x9┬а+ 4x7┬а+ 11
Now by differentiating above equation with respect to x, we get
тЗТ┬а
тЗТ┬аfтАЩ(x)= 9x8┬а+ 28x6
тЗТ┬аfтАЩ(x)= x6(9x2┬а+ 28)
As given x┬а╧╡┬аR
тЗТ┬аx6┬а>0 and 9x2┬а+ 28 > 0
тЗТ┬аx6┬а(9x2┬а+28) > 0
тЗТ┬аfтАЩ(x)> 0
Hence, condition for f(x) to be increasing
Thus f(x) is increasing on interval x┬атИИ┬аR