# Prove that the derivative of #(e^(4x)/4-xe^(4x) ) = pxe^(4x) # and find #p#?

##### 1 Answer

Sep 25, 2017

#### Answer:

#### Explanation:

Differentiating wrt

# d/dx (e^(4x)/4-xe^(4x) ) = d/dx (e^(4x)/4) - x(d/dx e^(4x) ) - (d/dx x)(e^(4x) ) #

# " " = d/dx ((4e^(4x))/4) - x(4e^(4x) ) - (1)(e^(4x) ) #

# " " = e^(4x) - 4xe^(4x) - e^(4x ) #

# " " = - 4xe^(4x) #

# " " = pxe^(4x) # , where#p=-4#