How to solve
The power rule says the derivative of xⁿ brings the exponent down as a coefficient and reduces the power by one: d/dx[xⁿ] = n xⁿ⁻¹. Constant coefficients ride along by linearity, measuring how steeply the monomial changes.
Steps
- For xⁿ, multiply by n and replace the exponent with n − 1.
- If there is a constant coefficient, multiply it through as well.
- Simplify the resulting monomial.
Example
Differentiate 4x³.
- Bring down the 3: 4 · 3 x² = 12x².
Answer: 12x^2
How to type answers
- Enter like 12x^3 or 5x
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