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Home » Unlock the Magic of the Cursive X: Students Finally Revealed Its Power! - Dyverse

Unlock the Magic of the Cursive X: Students Finally Revealed Its Power! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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C'(x) = rac{d}{dx}(5x^2e^{-x}).
Using the product rule, where \( u = 5x^2 \) and \( v = e^{-x} \), we...
C'(x) = u'v + uv' = (10x)e^{-x} + 5x^2(-e^{-x}) = e^{-x}(10x - 5x^2).
Set \( C'(x) = 0 \) to find critical points:
e^{-x}(10x - 5x^2) = 0.
Since \( e^{-x}
eq 0 \), we solve:
10x - 5x^2 = 0 \quad \Rightarrow \quad 5x(2 - x) = 0.
Thus, \( x = 0 \) or \( x = 2 \).
To determine which value maximizes \( C(x) \), evaluate the second der...

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