Question

differentiation of 2x+3/x²-5​

Answer 1

Answer:

(-2x^2 + 6x - 10)/(x^2 - 5)^2

Explanation:

We have to differentiate f(x) = (2x - 3)/(x^2 - 5). Use the quotient rule.

f'(x) = (2*(x^2 - 5) - (2x - 3)* 2x)/(x^2 - 5)^2

=> (2x^2 - 10 - 4x^2 + 6x)/(x^2 - 5)^2

=> (-2x^2 + 6x - 10)/(x^2 - 5)^2

The required derivative is (-2x^2 + 6x - 10)/(x^2 - 5)^2