What is the derivative of #5(sqrt(x))#?
1 Answer
Mar 8, 2017
Explanation:
Express the function in exponent form and differentiate using
#"the "color(blue)"power rule"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))#
#rArr5sqrtx=5x^(1/2)#
#rArrd/dx(5x^(1/2))#
#=5/2x^(-1/2)#
#=5/(2sqrtx)#
