Hi guys.
I am trying to differentiate 3 different questions with respect to x, they are shown in the attatchment..

thanks!!

1. Use the chain rule.

2. Use the product rule.

3. Use the quotient rule. You will need to use the chain rule at some point as well.

1. d/dx ln((x^3)+3 = (3x^2)/((x^3)+3)

2. d/dx (x^2)e^5x = 5(x^2)e^5x + (2x)e^5x

3. d/dx x/((1+x^2)^(1/2)) = [((1+x^2)^(1/2))(1) - ((2x)/(2((1+x^2)^(1/2))))]/(1+x^2)