Question

How do you find the derivative of `y=2x^2-7`, where x=-2?

Answer 1

`-8`

Explanation:

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

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(ax^n)=nax^(n-1)" and " d/dx("constant")=0)color(white)(a/a)|)))`

`y=2x^(color(red)(2))-7rArrdy/dx=(color(red)(2)xx2)x^(color(red)(2)-1)+0=4x`

when x = -2: `dy/dx=4(-2)=-8`