Important formulas included in derivative.​

s d(f(x))dx=f′(x) and g’ means d(g(x))dx = g′(x) .

Step-by-step explanation:

Force acting on a body due to gravity is given

by, f = mg

Where f is the force acting on the body, g is the acceleration due to gravity, m is mass of the body.

According to the universal law of gravitation,

f = GmM/(r+h)²

where,

As the height (h) is negligibly small compared to the radius of the earth we re frame the equation as follows,

f = GmM/r²

Now equating both the expressions,

mg = GmM/r²

=> g = GM/r²

Therefore, the formula of acceleration due to

gravity is given by,

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step-by-step explanation: