Application of DerivativeHard
Question
Let f(x) = (x − 4) (x − 5) (x − 6) (x − 7) then
Options
A.f′(x) = 0 has four roots
B.Three roots of f′(x) = 0 lie in (4, 5) ∪ (5, 6) ∪ (6, 7)
C.The equation f′(x) = 0 has only one root
D.Three roots of f′(x) = 0 lie in (3, 4) ∪ (4, 5) ∪ (5, 6).
More Application of Derivative Questions
The length of the subtangent to the curve y = (x − 2) (x + 2) at point (2, 0) is-...If (1 + 3 + 5 + ...+ a) + (1 + 3 + 5 + ...+ b) = (1 + 3 + 5 + ...+ c), where each set of paren theses contains the sum o...Let f(x) = the set of values of b for which f(x) has greatest value at x = 1 is given by :...At a point to the parabola y2 = 16 (x−2)...The curve y-exy + x = 0 has a vertical tangent at -...