SOLUTION: can someone help with these two questions thanks 1.)find y' when y=7^2^x this problem is 7 with the 2x are small 2.) find y' when y=x^5 5^x this problem is x to

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: can someone help with these two questions thanks 1.)find y' when y=7^2^x this problem is 7 with the 2x are small 2.) find y' when y=x^5 5^x this problem is x to       Log On

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Question 201027: can someone help with these two questions thanks
1.)find y' when
y=7^2^x this problem is 7 with the 2x are small


2.) find y' when
y=x^5 5^x this problem is x to the power of 5 then 5 to the power of x
thanks so much
Answer by solver91311(16872) About Me  (Show Source):
You can put this solution on YOUR website!


1) If then



So for , , so then:



2) You have the product of two functions, so use the Product Rule:
If then

Here, , so (Power Rule)

and , so (see Prob 1)

Putting it all together:






John