IB Maths SL Point of inflexion

Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes

IB Maths SL Point of inflexion

Postby Oliver » Fri Mar 22, 2013 8:23 pm

IB Mathematics HL – Derivatives, 2nd derivative test and Points of inflection


How can we find if the function has a point of inflexion?


Thanks
Oliver
 
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Re: IB Maths SL Point of inflexion

Postby miranda » Fri Mar 22, 2013 8:26 pm

IB Mathematics SL – Derivatives, Points of inflexion


We know that

If and the second derivative function changes sign around then at the function has a point of inflection.



The first derivative function is




The second derivative function is



By setting the second derivative equal to zero,


To determine the set of values for which the function is concave up or concave down we need to solve the following inequality



We observe that the function is concave up when and is concave down when

Thus at the function has a point of inflexion which has coordinates (0,2).


Hope these help!! :) :)
miranda
 
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Re: IB Maths SL Point of inflexion

Postby Oliver » Fri Mar 22, 2013 8:26 pm

thanks miranda
Oliver
 
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