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Chain Rule of Differentiation

99. Has not i...

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99. Has not it got two points of inflection as second derivative has discriminent greater than zero

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Q. If discriminant of a quadratic equation is greater than zero, then the equation has

x_{0}

is the x-coordinate of the point of inflection of curve

y = f (x)

then (assume second derivative exists)

Q. Assertion :If

a > 0

, the value of the expression

b^{2} - 4 a c

will be greater than zero. Reason: The expression

b^{2} - 4 a c

represents the discriminant of a quadratic function. If

a > 0

the graph will be an upward parabola and it will cut the x-axis at two distinct points indicating real and distinct roots. For real and distinct roots, the value of the discriminant is greater than zero.

Q. Which of the following function(s) has/have point of inflection?

Which of the following function has a point of inflection at x = 0 ?

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