Differentiation Question 416
Question: If sin(x+y)=log(x+y), then $ \frac{dy}{dx} $ =
[Karnataka CET 1993; RPET 1989, 92; Roorkee 2000]
Options:
A) 2
B) - 2
C) 1
D) -1
Show Answer
Answer:
Correct Answer: D
Solution:
It is implicit function, so $ \frac{dy}{dx}=-\frac{\partial f/\partial x}{\partial f/\partial y}=-\frac{\cos (x+y)-\frac{1}{x+y}}{\cos (x+y)-\frac{1}{x+y}}=-1 $ .
BETA
