What is the derivative of this function #cos x^5#?
1 Answer
Sep 11, 2016
Explanation:
differentiate using the
#color(blue)"chain rule"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(dy/dx=(dy)/(du)xx(du)/(dx))color(white)(a/a)|)))....(A)# let
#u=x^5rArr(du)/(dx)=5x^4# and
#y=cosurArr(dy)/(du)=-sinu# substitute these values into (A) change u back to terms of x.
#rArrdy/dx=-sinuxx5x^4=-5x^4sin(x^5)#