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How do you differentiate # y =4x ln(3x + 2)# using the chain rule?

1 Answer

Mar 19, 2017

#ln(x+2) +x/(x+2)#

Explanation:

It is not the chain rule, but the product rule which would apply here first. Accordingly,

#dy/dx=d/dx (x) ln (3x+2) + x d/dx ln (x+2)#... application of product rule.

=# ln(x+2) +x/(x+2) d/dx (x+2)#.... application of chain rule.

= #ln(x+2) +x/(x+2)#

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