How do you find the derivative of #S(r)=9r^2+3tanr#?
1 Answer
Dec 29, 2016
Explanation:
differentiate the first term using the
#color(blue)"power rule"# and use the#color(blue)"standard derivative for tan"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))" power rule"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(tanx)=sec^2x)color(white)(2/2)|)))#
#S(r)=9r^2+3tanr#
#rArrS'(r)=18r+3sec^2r#