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/ \[ f'(x) = 12x^2 - 10x + 1 \]
\[ f'(x) = 12x^2 - 10x + 1 \]
February 22, 2026
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\[ S_5 = 3 \frac{2^5 - 1}{2 - 1} = 3 \times (32 - 1) = 3 \times 31 = 93 \]
#### 93
\[ f'(x) = \frac{d}{dx}(4x^3) - \frac{d}{dx}(5x^2) + \frac{d}{dx}(x) - \frac{d}{dx}(7) \]
#### \( 12x^2 - 10x + 1 \)
\[ c = \sqrt{a^2 + b^2} \]
\[ c = \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15 \, \text{cm} \]
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