Problem

Find the slope of the line tangent to the function \(f(x) = 3x^2 - 2x + 1\) at the point where \(x = 2\).

Answer

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Answer

\(f'(2) = 6*2 - 2 = 10\)

Steps

Step 1 ：Step 1: Find the derivative of the function \(f(x)\).

Step 2 ：\(f'(x) = 6x - 2\)

Step 3 ：Step 2: Substitute \(x = 2\) into the derivative to find the slope of the tangent line.

Step 4 ：\(f'(2) = 6*2 - 2 = 10\)

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