Derivate with formula

Question

How to find the derivate of f(x)= 5/xa^2 with derivate formula.

Answer 1

For differentiation with respect to x,

with 5/xa^2 meant to be 5/(ax)²,

one could write d[5/(a²x²)]/dx for

the derivative sought.

The derivative is then obtained as

(a²x²)(0) − (5)(2a²x)

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(a²x²)²

which reduces to -10a²x ÷ a⁴x⁴ or -10/a²x³.