How do you differentiate #f(t)=sqrtt-1/sqrtt#?
1 Answer
Jan 20, 2017
Explanation:
Express f(t) 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)|)))larr" power rule"#
#f(t)=t^(1/2)-1/(t^(1/2))=t^(1/2)-t^(-1/2)#
#rArrf'(t)=1/2t^(-1/2)+1/2t^(-3/2)#
#=1/(2sqrtt)+1/(2sqrt(t^3)#
