SOLUTION: This is from my derivatives of exponents lesson. If f(x)=10^(3x-5) times e^[(2x)^2], determine the values of x so that f'(x)=0. Thank you!

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Question 1200978: This is from my derivatives of exponents lesson.
If f(x)=10^(3x-5) times e^[(2x)^2], determine the values of x so that f'(x)=0.
Thank you!

Found 2 solutions by psbhowmick, ikleyn:
Answer by psbhowmick(878)   (Show Source): You can put this solution on YOUR website!





Clearly, will be zero only if is zero.


Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

        This my post is a correction to the solution by @psbhowmick.


f(x) = = .

= +

=

=


        Clearly,      will be zero only if      is zero.


8x + ln(1000) = 0

x = = -0.86346941.             ANSWER

Solved.



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