how do you differentiate f(t)= (te^ t)/(6t^ 2 +7)

Question

how do you differentiate the following

f(t)= (te^ t)/(6t^ 2 +7)

Answer 1

This is just a messy example of the quotient rule and the chain rule.

Some of my students taught me this little mnemonic for the quotient rule:

downsie d upsie minus upsie d downsie divided by downsie squared.

I think you should be able to do this problem now.