A research probe measures the signal intensity I I\,I at a distance x x\,x from a source. The intensity is modeled by the function
I=54x4−485x+500+32x2x≠0 I = 54x^4 - 485x + 500 + \frac{32}{x^2} \quad x \neq 0 I=54x4−485x+500+x232x=0Find dIdx\displaystyle \frac{dI}{dx}dxdI.
Hence find the coordinates of the stationary points of the curve.
