JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Let

f(x)

be a polynomial function of degree 2 such that

f(x)>0

for all

x \in R

. If

g(x)=f(x)+f^{\prime}(x)+f^{\prime \prime}(x)

for all

x

, then

View answer and explanation

Correct option: B

g(x) > 0

for all

x

Option B is correct because it correctly uses the given conditions to determine the sign of the quadratic function g(x).

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