Differentiate 3x^2+1/x and find the x coordinate of the stationary point of the curve of y=3x^2+1/x
To differentiate we multiply by the power and take one off the power. d/dx(3x^2+1/x)= 6x-1/x^2 At a stationary point the gradient equals zero 6x-1/x^2=0 which rearranges to x=(1/6)^(1/3)
RW
Related Maths A Level answers
All answers ▸Find the derivative of y=e^(2x)*(x^2-4x-2).
Solve the equation 3sin^2(x) + sin(x) + 8 = 9cos^2(x), -180<X<180. Then find smallest positive solution of 3sin^2(2O-30) + sin(2O-30) + 8 = 9cos^2(2O-30).
Differentiate y=x^2 from first principles
Differentiate 6x^2+2x+1 by first principles, showing every step in the process.