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Derivative of a Polynomial
For:
$$P(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0$$
$$P'(x)=na_nx^{n-1}+(n-1)a_{n-1}x^{n-2}+\cdots+a_1$$
Usage
- Used for direct differentiation of polynomial functions and for finding their critical points.
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Derivative of a Polynomial
For:
$$P(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0$$
$$P'(x)=na_nx^{n-1}+(n-1)a_{n-1}x^{n-2}+\cdots+a_1$$
Usage
- Used for direct differentiation of polynomial functions and for finding their critical points.
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