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