Statement 1: We are given that . The derivatives of the logarithmic functions are: and Adding these, we get: Hence, Statement 1 is true.
Statement 2: The derivatives of and are incorrect in the statement. The correct derivatives are: and Hence, Statement 2 is false.
The correct answer is (A) : Statement 1 is true; statement 2 is false.
List-I (Function) | List-II (Derivative w.r.t. x) | |
---|---|---|
(A) | (I) | |
(B) | (II) | |
(C) | (III) | |
(D) | (IV) 0 |
List-I | List-II |
---|---|
The derivative of with respect to at is | (I) -5 |
If , then at is | (II) -6 |
If , then is | (III) 5 |
If and , then at is | (IV) 0 |