Y=(ax+b) Find dx/dy?

1 Answer
Apr 26, 2018

#dy/dx=a#

Explanation:

Think of #a# and #b# as real numbers. So when you differentiate #y# with respect to #x#, you will get:

#y = ax+b#
#dy/dx=a#

For example, say #y=2x+1#
An easy way to do this is by separating and differentiating each term separately:

So, #=dy/dx(2x)+dy/dx(1)#
Differentiating #dy/dx(2x) = 2#
Differentiating #dy/dx(1)= 0#
Therefore, the differential of #y=2x+1# is #2#