Calculus: What is second derivative test?

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Critical number is the point where the derivative is zero or undefined. Maximum occurs where the derivative changes from positive to negative. Minimum is at the point where the first derivative changes from negative to positive increasing to decreasing. Minimum is at a point where the derivative changes from decreasing to increasing. Second derivative can be used to confirm maximum or minimum at the critical point. Positive second derivative means minimum and negative means maximum.

[udayyysharma]

3:20 it should be '+2' instead of '+2x', very helpful lecture though!

[imranullah]

First of all your lectures is too much good dear professor anil kumar sir

[omega-man]

I love you sir, you are helping a lot of people Thank you

[Munaam]

very clear,

thanks Sir,

<3 from Pak

[imranullah]

Dear sir here when we put f(-1) =-2 and when we put f(1)=2 but here you will be written 2x here 2x is right ?

[seloni_M]

Very very useful lecture thank you so much

[directornishant]

sir what is the concept behind double differentiation,
what we get actually by differentiating the function twice..?

[kina]

You could have talked about the POI when f''(×)=0 to complete your talk on the subject

[HabibUrRahman-srwn]

Sir my question is that if we can find everything through first derivative test like critical values, relative extrema (max, min) increasing and decreasing graph
Then why we use 2nd derivative test?

[enadin]

If the scnd derivative got zero then what test should do.. Make short vid plis

[shroud]

Nice voice, but you wrote 2x instead of 2.

[SaurabhGupta-nllf]

Sir jab first derivatives se maximum or minimum point mila ja rha hai to fir second ka kya use

[allrounderbeast]

English kam jhado😏😏 sir kuch samaj nhi aa rha hai