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 ▸

Find the x co-ordinate of stationary point of the graph y=5x^3 +3x


Simplify 3log(x^2)+4log(y^3)


A particle is placed on a rough plane which is inclined to the horizontal at an angle θ, where tanθ =4/3, and released from rest. The coefficient of friction between the particle and the plane is 1/3. Find the particle's acceleration.


Given that y = 5x(3) + 7x + 3, find A) dy/dx B) d2y/dx2