Differentiate the function y = (x^2)/(3x-1) with respect to x.
This requires use of the quotient rule: d/dx[f(x)/g(x)] = [g(x)f'(x) - g'(x)f(x)]/[g(x)^2]dy/dx = ([(3x-1)*2x] - 3x^2)/[(3x-1)^2],= (3x^2-2x)/[(3x-1)^2],=[x(3x-2)]/[(3x-1)^2]
TS
Related Maths A Level answers
All answers ▸An ellipse has the equation (x^2)/4 + (y^2)/9 = 1. Find the equation of the tangent at (-6/5 , 12/5)
differentiate: y=[xcos(x^3)]/[(x^4 + 1)^3] with respect to x
How do I differentiate (2x+1) / (3x^2 - 5)?
give the coordinates of the stationary points of the curve y = x^4 - 4x^3 + 27 and state with reason if they are minumum, maximum, or points of inflection.