Thread: Product rule

Starting with x^(1/2) * e^x

i have gotten to g`(x) = x^(1/2)(e^x) + e^x(1/2x^(-1/2))

what would be the next algebraic (sp) step?

factor out e^x, perhaps also factor out x^(-1/2)

Originally Posted by TastyBeverage

Starting with x^(1/2) * e^x

i have gotten to g`(x) = x^(1/2)(e^x) + e^x(1/2x^(-1/2))

what would be the next algebraic (sp) step?

You could also move the to the denominator as



I guess if you wanted to do more, you could get a common denominator and combine the two. Not sure how far your teacher wants you to take it.