How do you use the power rule to differentiate #f(x)=1-x^2+3x^3sqrtx#?
1 Answer
Nov 16, 2016
Explanation:
differentiate using the
#color(blue)"power rule"# on each term.
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))# Express
#3x^3sqrtx=3x^3.x^(1/2)=3x^(7/2)#
#f(x)=1-x^2+3x^(7/2)#
#rArrf'(x)=0-2x+21/2x^(5/2)#
#=21/2sqrt(x^5)-2x#
