Question

Why the derivative of y= 3/x is equal to -3/x^2. Can some one explain me ?

Answer 1

3/x is the same as 3x^(-1)

Answer 2

from there, you use the rule that

d/dx[ x^n ] = n*x^(n-1)

so that explains why

d/dx[ 3x^(-1) ] = 3*d/dx[ x^(-1) ]

d/dx[ 3x^(-1) ] = 3*(-1)*x^(-2)

d/dx[ 3x^(-1) ] = -3*x^(-2)

d/dx[ 3x^(-1) ] = -3/(x^2)

Answer 3

Thankkkksssss !!1

Answer 4

you're welcome