Given that,
The equation is "F=kx"
To find,
The derivative equation.
Solution,
We are given with the given equation which is as follows :
F = kx ...(1)
Where, F is force, k is spring constant and x is distance covered by the spring
Differentiate equation (1) wrt x.
[tex]\dfrac{dF}{dx}=\dfrac{d}{dx}(kx)\\\\\dfrac{dF}{dx}=k[/tex]
As k is constant.
Hence, this is the required solution.