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Home » "Chinese ‘Yes’ Has a Hidden Power You’ve Never Seen—Watch This Fast! - Carbonext

"Chinese ‘Yes’ Has a Hidden Power You’ve Never Seen—Watch This Fast! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Calculate the derivative of \( f(x) = 3x^3 - 5x^2 + 2x - 7 \).
The derivative \( f'(x) \) is found by differentiating each term:
The derivative of \( 3x^3 \) is \( 9x^2 \).
The derivative of \( -5x^2 \) is \( -10x \).
The derivative of \( 2x \) is \( 2 \).
The derivative of \( -7 \) is \( 0 \).
So, \( f'(x) = 9x^2 - 10x + 2 \).
#### \( f'(x) = 9x^2 - 10x + 2 \)
Solve for \( x \) in the equation \( 2^{x+1} = 32 \).
Rewrite 32 as a power of 2: \( 32 = 2^5 \).

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