Question

Use the quotient rule to find the derrivatives of 3/x^2​

Answer 1

f'(x) = -6/x³

Explanation:

We are given;

f(x) = 3/x²

Using quotient rule, we can write as;

f(x) = g(x)/h(x)

To find the derivative, from quotient rule, we can write;

f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²

g'(x) = 0

h'(x) = 2x

Thus;

f'(x) = [(x²*0) - (3*2x)]/(x²)²

f'(x) = -6x/x⁴ = -6/x³

f'(x) = -6/x³