Math  /  Calculus

Question11. What is the slope of the line tangent to the curve y=arctan(4x)y=\arctan (4 x) at the point at which x=14x=\frac{1}{4} ? (A) 2 (B) 12\frac{1}{2} (C) 0 (D) 12-\frac{1}{2} (E) -2 1414\frac{1}{4} \cdot \frac{1}{4} 54116\frac{5}{4} \quad \frac{1}{16}

Studdy Solution
Identify the slope of the tangent line.
The slope of the tangent line at x=14 x = \frac{1}{4} is 2 \boxed{2} .
The correct answer is (A) 2.

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