Thread: Trouble with exponents and differentiation

I think I have an error in my calculation, because I should get at the end but I do not. Can someone please check to see where I've gone wrong?

Suppose you have:

Rewrite as



Expand the brackets:



To find golden rule consumption, take the partial:



Set that beastie equal to zero so we can find the local max:



Divide through by to get






Multiply both sides by



Raise both sides to the power of



Multiply both sides by





And finish by raising both sides by




We can rewrite as



But that hardly makes it look closer to , which I think is the right answer. What have I done wrong?

Your problem is here:

Originally Posted by garymarkhov

Raise both sides to the power of

When you raise a function ab^c to the power of d, you should get:

but you have:

Note that the term is missing an exponent.

Dear Lord,

Thank you for Mr. ebaines. Amen.

Love,

Gary