Question

find the derivative of f(x)=2x+3/x-1​

Answer 1

Step-by-step explanation:

this may be your answer

Answer 2

Given,

A function f(x) = (2x+3)/(x-1)

To Find,

The derivative of this function.

Solution,

By using the division formula in differentiation

f'(x) = [u(x)/v(x)]' = [v(x) × u'(x) - u(x) × v'(x)]/[v(x)]2

Now,

f(x) = (2x+3)/(x-1)

We will find the value of

d(2x+3)/dx = 2

d(x-1)/dx = 1

Now, substituting the values in the formula mentioned above

(2)(x-1)-(2x+3)1/(x-1)²

-2x+2(x-1)-3/(x-1)²

$\frac{-5}{(x-1)^{2} }$

Hence, the derivative of f(x) is $\frac{-5}{(x-1)^{2} }$.