How to solve
The chain rule differentiates a composition by multiplying the outer derivative (evaluated at the inner function) by the inner derivative. For (ax+b)^n that means bring down n, keep the inside, reduce the power, then multiply by a.
Steps
- Recognize the outer power and the inner linear expression g(x) = ax + b.
- Apply n(ax+b)^{n−1}, then multiply by g'(x) = a.
- Simplify coefficients.
Example
Differentiate (2x + 1)⁵.
- Outer derivative: 5(2x + 1)⁴.
- Multiply by inner derivative 2: 10(2x + 1)⁴.
Answer: 10(2x+1)^4
How to type answers
- Enter like 10(2x+1)^4
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