CalculusCourse skill

The second derivative

Differentiate twice to find the second derivative.

  • First find . Then differentiate that result to find .
  • The notation also means the second derivative.
  • A linear term becomes a constant after one derivative and after two derivatives.

Example 1

Find the second derivative with respect to .

Differentiate once.Differentiate the first derivative.

Example 2

Find the second derivative with respect to .

Differentiate once.Differentiate the first derivative.

Your turn

5 practice questions
Question 1

Find the second derivative with respect to .

Check answer
Differentiate once.Differentiate the first derivative.
Question 2

Find the second derivative with respect to .

Check answer
Differentiate once.Differentiate the first derivative.
Question 3

Find the second derivative with respect to .

Check answer
Differentiate once.Differentiate the first derivative.
Question 4

Find the second derivative with respect to .

Check answer
Differentiate once.Differentiate the first derivative.
Question 5

Find the second derivative with respect to .

Check answer
Differentiate once.Differentiate the first derivative.
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