For the function, f (x) = e x cos x, , the slope of the ta…

Maths Differentiation and Applications of Derivatives NTA Abhiyas Question - Applications of Derivativas Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

For the function, f (x) = e x cos x, , the slope of the tangent at any point on the curve of the function is minimum at

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The correct answer is:

f (x) = e x cos x

f' (x) = -e x sin x + e x cos x

f’ (x) = e x (cosx-sinx)

Let g (x) = e x [cos x - sin x] is the slope of the tangent to the curve, then,

g' (x) = e x [- sin x - cos x] + e x [cos x - sin x]

= e x [- sin x - cos x + cos x - sin x]

g' (x) = -2e x smx x = 0, , 2

So it is minima at x =

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