Cracking The Ap Calculus ab Exam 2018

(Marvins-Underground-K-12) #1

Now solve for .


2 − 10 = −12 − 1

2 = −3

SECOND DERIVATIVES


Sometimes, you’ll be asked to find a second derivative implicitly.


Example 6: Find if y^2 + 2 y = 4x^2 + 2x.


Differentiating implicitly, you get


2    y  +   2   =   8x  +   2

Remember:   When    it  is  required    to  take    a   second  derivative, the
first derivative should be simplified first.

Next, simplify and solve for .


Now, it’s time to take the derivative again.

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