Question

Compute the derivative function f '(x) algebraically. Explain how please?
f(x) = x^2 − 6

Answer 1

f'(x) = 2x

Answer 2

u use the formula

if f(x) = ax^n

f'(x) = anx^ (n-1)

Answer 3

I dont think that here this is what was asked.
You should use the definition of the derivative
f'(x)=lim (f(x+h)-f(x))/h as h tends to 0
In this case
lim (x+h)^2-6-x^2+6/h=lim(2xh+h^2)/h=lim 2x +h= 2x (as h tends to 0)

Answer 4

first principles is what i believe its asking for too