Advertisements
Advertisements
Question
Choose the correct alternative:
The curve y = ax4 + bx2 with ab > 0
Options
has no horizontal tangent
is concave up
is concave down
has no points of inflection
Solution
has no points of inflection
APPEARS IN
RELATED QUESTIONS
Find intervals of concavity and points of inflexion for the following functions:
f(x) = x(x – 4)3
Find intervals of concavity and points of inflection for the following functions:
f(x) = sin x + cos x, 0 < x < 2π
Find intervals of concavity and points of inflection for the following functions:
f(x) = `1/2 ("e"^x - "e"^-x)`
Find the local extrema for the following functions using second derivative test:
f(x) = – 3x5 + 5x3
Find the local extrema for the following functions using second derivative test:
f(x) = x log x
Find the local extrema for the following functions using second derivative test:
f(x) = x2 e–2x
For the function f(x) = 4x3 + 3x2 – 6x + 1 find the intervals of monotonicity, local extrema, intervals of concavity and points of inflection
Choose the correct alternative:
The point of inflection of the curve y = (x – 1)3 is
