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Differentiate w.r.t. x
− 3/ 2x ⁵/²

User Hkatz
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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

User Trevor Dixon
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