3.6.2 Differentiation (A-level only)

A research probe measures the signal intensity $I\,$ at a distance $x\,$ from a source. The intensity is modeled by the function

54x^4 - 485x + 500 + \frac{32}{x^2} \quad x \neq 0

a.

Find $dIdx\displaystyle \frac{dI}{dx}$ .

[3]

b.

Hence find the coordinates of the stationary points of the curve.

[6]

A research probe measures the signal intensity $I\,$ at a distance $x\,$ from a source. The intensity is modeled by the function

54x^4 - 485x + 500 + \frac{32}{x^2} \quad x \neq 0

a.

Find $dIdx\displaystyle \frac{dI}{dx}$ .

[3]

b.

Hence find the coordinates of the stationary points of the curve.

[6]

3.6.2 Differentiation (A-level only) Questions