Answer to Question #144564 in Calculus for Tr

Question

Find the derivative f m(x) of the following function with respect to x:

fm(x) = ( m

X * n^ x · x ^n )^2

n=1

Answer 1

For $n=1$

$fm(x)=(mx\cdot1^x\cdot x^1)^2=(mx^2)^2=m^2x^4,$

$fm^{'}(x)=4m^2x^3.$