Question

find the derivation of y=2x -3/4​

Answer 1

Answer:

Step-by-step explanation:

ANSWER

Solution:-

Given:- y=(2x+3)

(3x−5)

To find:-

dx

dy

​

=?

y=(2x+3)

(3x−5)

Taking log both sides, we have

logy=log((2x+3)

(3x−5)

)

logy=(3x−5)log(2x+3)

Now, differentiating both sides w.r.t. x, we have

dx

d

​

(logy)=(3x−5).

dx

d

​

(log(2x+3))+(log(2x+3)).

dx

d

​

(3x−5)

y

1

​

dx

dy

​

=(3x−5)(

2x+3

1

​

.2)+(log(2x+3))(3)

dx

dy

​

=y(

2x+3

2(3x−5)

​

+3log(2x+3))

⇒

dx

dy

​

=((2x+3)

(3x−5)

)(

2x+3

(6x−10)

​

+3log(2x+3))