
Power rule calculus
The power of a power rule states that if a base raised to a power is being raised to another power, the exponents are multiplied and the base remains the same.
How the power rule is formulated?
The power rule for derivatives is that if the original function is xn, then the derivative of that function is nxn−1. To prove this, you use the limit definition of derivatives as h approaches 0 into the function f(x+h)−f(x)h, which is equal to (x+h)n−xnh.
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