What is the derivative of #f(x)= x^(4/5) (x-5)^2#?
1 Answer
May 6, 2018
Explanation:
#"differentiate using the "color(blue)"power rule"#
#•color(white)(x)d/dx(ax^n)=nax^(n-1)#
#"expand and distribute"#
#f(x)=x^(4/5)(x^2-10x+25)#
#color(white)(f(x))=x^(14/5)-10x^(9/5)+25x^(4/5)#
#rArrf'(x)=14/5x^(9/5)-18x^(4/5)+20x^(-1/5)#
