Final answer:
To differentiate w.r.t. x − 3/ 2x ⁵/², use the power rule of differentiation.
Step-by-step explanation:
To differentiate w.r.t. x − 3/2x 5/2,
we can use the power rule of differentiation. The power rule states that if you have a term of the form xn, the derivative is given by nxn-1. So in this case, the derivative of − 3/2x 5/2 with respect to x is:
- 5/2x5/2-1
Simplifying further, we get:
- 5/2x3/2