Proof of Intermediate Value Theorem
Trending Questions
Q.
If x2 - ( a - 3)x + a = 0 has atleast one positive root then :
a (- , 0 ) (7, 9).
a (- , 0 ) (7, ).
a (- , 0 ) (9, ).
None of these
Q. Let f(x) be a function such that f(a1)=0, f(a2)=1, f(a3)=−2, f(a4)=3 and f(a5)=0; where ai∈R and ai<aj ∀ i<j. Let g(x) be a function defined as g(x)=f′(x)2+f(x)f′′(x) on [a1, a5]. If f(x) be thrice differentiable, then g(x)=0 has at least
- 4 real roots
- 5 real roots
- 6 real roots
- 7 real roots