The angle at which the curve intersects -axis is

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The angle at which the curve y=kekxy = ke^{kx} intersects YY-axis is (1) tan⁡−1(k2)\tan^{-1}(k^2) (2) cot⁡−1(k2)\cot^{-1}(k^2) (3) sin⁡−1(11+k4)\sin^{-1}\left(\frac{1}{\sqrt{1+k^4}}\right) (4) sec⁡−1(1+k4)\sec^{-1}(1+k^4)

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