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Solve the given problems by finding the appropriate derivatives.Find a second-degree polynomial such that $f(2)=6, f^{\prime}(2)=3$ and $f^{\prime \prime}(2)=2.$

Calculus 1 / AB

Chapter 23

The Derivative

Section 9

Higher Derivatives

Derivatives

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Hello, everyone. We're taking the derivative of dysfunction. So we have f prime of X. Let's take a bit of a fix of f of X is equal to three x cubed plus two X squared plus X minus 26. So the derivative off that or f prime physical too, So you can bring down the constant. So three times three is nine x and we subtract one from the power I'm gonna say, Bring on the power So you multiply the con this right over here with the power to get nine didn't subtract one from the power. It's got the power law and then you do the same thing for next one or two times. Two is four x a new subtract one from the power, which is one and then the the derivative off. A X is just going to be a so this is the derivative off. One ex, just one and the derivative of a constant is just zero plus year old, Um and so we can rewrite this as the derivative of FX is nine x squared plus for X plus one. Thank you for watching. And I hope this helps

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