yes it is for a class. But, it is a practice problem. We haven't seen similar problems to this, so i am quite lost at the moment. I know the derivative of e^x is e^x.
Homework Statement
Let y=sin(x)^x. Find dy/dx
My teacher said to use Natural long to solve this.
she got,
step 1:ln(y)=ln(sin(x)^x)=x ln(sin(x))
step 2:y(dy/dx)=1(ln(sin(x)+x(cos(x)/sin(x)
Final answer:dy/dx=((sin(x))^x)[ln(sin(x))+x(cos x/sin x)
I don't understand how she...