Derivatives · Basic Rules
Power Rule
Bring the exponent down as a coefficient and reduce the exponent by one. Works for any real number n.
Conditions. n can be any real number. For n = 0 the result is 0. For integer n the rule holds wherever x^n is defined; for non-integer n, x^n and the rule require x > 0.
- 0 variables
- 3 worked examples
- 24 in Derivatives
Worked examples
Find d/dx[x⁵].
- Apply power rule: 5x⁴
Answer: 5x⁴
2 more worked examplesPremium
Find d/dx[x^(-2)].
Step-by-step solution locked.
Find d/dx[√x].
Step-by-step solution locked.
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Practice
Quiz yourself on Derivatives
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