1. find f'(x) of
I got using the logarithmic rule and the product rule right?
2. If , find .
What do I do first? Take the ln so I get the ^x in front of the ln? Thanks
1. The right direction - you've basically done...
... where (key in spoiler) ...
... but you've not finished solving the bottom row for f'(x)...
7 ln x you've multiplied by f(x) but not the other term (the one cancelling down to 7).
Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
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whenever you are told to differentiate something like in Q1 and Q2, take the natural logarithm of both sides.
take natural logarithm
differentiate implicitly. on RHS, use product rule
remember that when you multiply by y over to the other side, 7lnx and 7x both get multiplied