[填空题]
Let f(x) = $\frac{5x}{e^{3x}}$ , for 0≤x≤10.
1.Sketch the graph of f.
2.1.Write down the x-coordinate of the maximum point on the graph of f.
x= .
2.2.Write down the interval where f is increasing.
a≤x≤b; a= , b= .
3.Find f′(x) using the quotient rule.
f′(x)=$\frac{ae^{bx}-15xe^{bx}}{e^{cx}}$; a= ,b= ,c= .
4.Find the interval where the rate of change of f is increasing.