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Second derivatives review

Review your knowledge of second derivatives.

What are second derivatives?

The second derivative of a function is simply the derivative of the function's derivative.
Let's consider, for example, the function f(x)=x3+2x2. Its first derivative is f(x)=3x2+4x. To find its second derivative, f, we need to differentiate f. When we do this, we find that f(x)=6x+4.
Want to learn more about second derivatives? Check out this video.

Notation for second derivatives

We already saw Lagrange's notation for second derivative, f.
Leibniz's notation for second derivative is d2ydx2. For example, the Leibniz notation for the second derivative of x3+2x2 is d2dx2(x3+2x2).

Check your understanding

Problem 1
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Problem 2
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Want to try more problems like this? Check out this exercise.

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