Application of DerivativeHard
Question
The curve y = f(x) which satisfies the condition f′ (x) > 0 and f′′ (x) < 0 for all real x, is:
Options
A.
B.
C.
D.
Solution
f′(x) > 0 ⇒ f(x) is increasing.
f″(x) < 0 ⇒ f(x) is convex (opening down ward)
f″(x) < 0 ⇒ f(x) is convex (opening down ward)
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
A particle moves along the curve y = x2 + 2x. Then the points on the curve are the x and y coordinates of the particle c...In which of the following intervals f(x) = 2x3 - 15x2 + 36x + 1 is monotonic decreasing -...The curve y = has...The equation of the normal to the curve 2y = 3 - x2 at (1, 1) is-...Equation of normal drawn to the graph of the function defined as f(x) = , x ≠ 0 and f(0) = 0 at the origin is...