Subjects calculus

Derivative Step 20

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Derivative Step 20


1. Let's interpret the request as solving a problem involving "step 20" of a derivation process. 2. Since no specific problem was provided, I'll demonstrate a detailed derivation process for a general example: finding the derivative of the function $$f(x) = x^{20}$$. 3. By the power rule for derivatives, $$\frac{d}{dx} x^n = n x^{n-1}$$. 4. Applying this rule to $$f(x) = x^{20}$$, we get: $$\frac{d}{dx} x^{20} = 20 x^{19}$$. 5. Thus, the derivative of $$f(x) = x^{20}$$ is $$f'(x) = 20 x^{19}$$. This shows the derivation process step-by-step for the 20th power function derivative.