Question

1.Consider the following function f(x)=2xln(2x) Determine the following: (Remember to type exp(x) for e^x and infinity...

1.Consider the following function

f(x)=2xln(2x)

Determine the following:

(Remember to type exp(x) for e^x and infinity for ∞ and * for multiplication.)


(a) The open interval on which f is decreasing

(    ,     )


(b) The open interval on which f is increasing

(    ,     )

2.

For what values of the numbers a and b does the function

f(x)=axebx2

have a maximum value f(6)=1?

(Remember to type exp(x) for ex.)

a=    

b=     

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