The power rule
Differentiate a single term with a positive integer power.
- If
, then . - Multiply the coefficient by the power, then subtract
from the power. - The derivative gives the instantaneous rate of change of
with respect to .
Example 1
Differentiate with respect to
Example 2
Differentiate with respect to
Your turn
Question 1
Differentiate with respect to
Check answer
Question 2
Differentiate with respect to
Check answer
Question 3
Differentiate with respect to
Check answer
Question 4
Differentiate with respect to
Check answer
Question 5
Differentiate with respect to
Check answer
Differentiate with respect to
Differentiate with respect to
Differentiate with respect to
Differentiate with respect to
Differentiate with respect to