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6:39
Khan Academy
Differentiating polynomials
Let's explore how to differentiate polynomials using the power rule and derivative properties. We work with the function f(x)=x⁵+2x³-x² and apply the power rule to find its derivative, f'(x)=5x⁴+6x²-2x. Next, we evaluate f'(x) at x=2, determining that f'(2)=100, which represents the rate of change or slope of the tangent line at the ...
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