How do you find the derivative of #(1/(3x^2) - (5/(2x)))#?
1 Answer
Nov 21, 2016
Explanation:
Express the terms of the function in exponent form.
#rArr1/3x^-2-5/2x^-1# differentiate each term 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)|)))#
#rArrd/dx(1/3x^-2-5/2x^-1)#
#=-2/3x^-3+5/2x^-2=5/(2x^2)-2/(3x^3)#