evaluate:
d ^15/dx ^15 exp [(1 + sqrt(3)i) x]
i dont know how to approach this problem with the drivative to the 15th power.
firstly 1 + sqrt(3)i must be converted to polar form.. then im stuck
pls help me.
if you think about it right? Now if is a constant then we dont need to use chain rule we jsut have keep multiplying it so for example...remember is a constant then we would have ...then ...now since it is a constant we just yank it out so ...so using this same concept of yanking out the constant we get ...and in this case is a consant...so yeah
after obtaining an expression for the derivative...i got a different answer to ures... since the constant would be of high power.. (1 + sqrt(3) i ) ^ 15... expanding it would be silly.
so wouldnt u need to convert it into polar form and use De Moivre's theorem to simplify it?
if that is so i got something different to ures... i had -2^15 ????
hrmm... i just noticed u only included the imaginary part in the constant....y is that?