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प्रश्न
Choose the correct alternative:
The curve y = ax4 + bx2 with ab > 0
विकल्प
has no horizontal tangent
is concave up
is concave down
has no points of inflection
उत्तर
has no points of inflection
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संबंधित प्रश्न
Find intervals of concavity and points of inflexion for the following functions:
f(x) = x(x – 4)3
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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
