Question

What is the gradient of this equation of the curve y=2x+(8/x^2)?

Answer 1

`dy/dx=2-16/x^3`

Explanation:

`m_(color(red)"tangent")=dy/dx" at x = a"`

`"differentiate using the "color(blue)"power rule"`

`•color(white)(x)d/dx(ax^n)=nax^(n-1)`

`y=2x+8/x^2=2x+8x^-2`

`rArrdy/dx=2-16x^-3=2-16/x^3larrcolor(red)"gradient function"`