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 ▸

Differentiate y=x^2cos(x)


differentiate y=(3x)/(x^2+6)


Consider f(x)=x/(x^2+1). Find the derivative f'(x)


Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2