The line is perpendicular to the tangent line of the curve at some point

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The line y=x−4y=x-4 is perpendicular to the tangent line of the curve y=excos⁡xy=e^{x}\cos x at some point x=cx=c. Which of the following values is closest to cc? (a) 0.790.79 (b) 1.041.04 (c) 00 (d) 1.571.57

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