Answer: -0.500
Explanation:
If we're given a function, to find the slope of the function at a particular point, we have to first find the derivative of that function by differentiating once with respect to x and imputing the given value of x in our derivative.
To get the slope of f(x), we find the derivative of the function and input our value of x in the derivative.
Remember if f(x)=kx^n,
then, f'(x) = derivative of f(x) = k* n* x^n-1
F(x)= 2[x^-1]
F'(x) = 2*( -1)* [x^-2]
F'(x) = -2/x²
At x=2,
F'(x) = -2/2² = -2/4 = -0.500(3d.p.)