How do you find the derivative of : 3 - (3/(5x)) ?

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We have to find the derivative of : y = 3 - (3/(5x))

y = 3 - (3/(5x))

y' = [3 - (3/(5x))]'

=> y' = [3]' - [(3/5)*(1/x)]'

The derivative of a constant term is 0 and that of x^n is n*x^(n-1)

=> y' = 0 - (3/5)(-1)*x^(-1-1)

=> y' = (3/5)/x^2

=> y' = 3/(5*x^2)

The derivative of 3 - (3/(5x)) is 3/(5*x^2)

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