# Math Help - calculus derivative problem

1. ## calculus derivative problem

I am having trouble trying to find the derivative of:

h(x)= the sqrt of 3x+2 divided by 4x-3

any help would be appreciated.

I also have another one:

y=ln(e^4x+3)

again, would really appreciate someone getting me started on these.

Thank you!

2. ln(e^x) = x.

For the first one think of it as [(3x+2)^(1/2)]/(4x-3). Then use the quotient rule.
The derivative of the top is (1/2)(3)(3x+2)^(-1/2)
The derivative of the bottom is 4.