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.