Question

derive 2ln(3x-2)

Answer 1

To derive 2ln(3x-2), use the chain rule for differentiation.

Let y = 2ln(3x-2)

Applying the chain rule, the derivative of ln(3x-2) is (1/(3x-2)) * 3 = 3/(3x-2)

Now, take the derivative of 2ln(3x-2):

dy/dx = d/dx (2ln(3x-2))
dy/dx = 2 * 3/(3x-2)
dy/dx = 6/(3x-2)

Therefore, the derivative of 2ln(3x-2) is 6/(3x-2)