Helping students gain understanding and self-confidence in algebra.
stapel_eliz wrote:doodoo21 wrote:y= 2x + 3^(-12x)
y= x^(-2x) - (e^2x)/5
I need to find both the first and second derivative.
Where are you getting stuck?
Please be complete. Thank you!
doodoo21 wrote:I don't understand how to get the second derivative as I'm not sure on how to derive logs
doodoo21 wrote:The second one would incorporate the chain rule?
stapel_eliz wrote:Ouch! They were supposed to teach you that stuff before assigning homework on it!
To learn how to work with exponential and logarithmic functions and their derivatives, try here.
stapel_eliz wrote:You can not apply rules for constants to situations with variables. You have the Power Rule for differentiating xn where n is a number; you have the exponential derivative rule for differentiating nx where n is a number. You cannot use either of those rules for xf(x).
Have you learned about logarithmic differentiation yet?
doodoo21 wrote:I would like to know if dy/dx of the first equation is 2 - 12ln3(3^-12x).
doodoo21 wrote:from my understanding dy/dx of the second equation would be: (x^-2x)[ln(x)-2] - (2e^2x)/5