Chapter 8: Differentials and Partial Derivatives - Online Test
Q1. If f (x)
= x / x+1 , then its differential is
given by
Answer : Option B
Explaination / Solution:
Q2. If u (
x, y ) = x2 + 3xy + y − 2019 , then ∂u/∂x|(4,−5)
is equal to
Answer : Option C
Explaination / Solution:
Q3. Linear approximation for g ( x) = cos x at x = π/2 is
Answer : Option B
Explaination / Solution:
Q4. If w( x, y , z) = x2 ( y − z ) + y2 ( z − x) + z2 ( x − y) , then ∂w/∂x + ∂w/∂y + ∂w/∂z is
Answer : Option D
Explaination / Solution:
Q5. If f (
x, y , z) = xy + yz + zx , then fx
− fz is equal to
Answer : Option A
Explaination / Solution:
