If y=cos⁡xcos⁡2xcos⁡4xcos⁡8x, then dy/dx at x=(π)/2 is

Question

MARKS Content Team · Accepted Answer

Correct answer: (A) 1. y=(sin⁡16x)/(16sin⁡x) ∵ cos⁡Acos⁡2A.........cos⁡2^(n-1)A=(sin2^nA)/(2^nsin⁡A) So, dy/dx=1/16(sin⁡x⋅16cos⁡16x-sin⁡16x)/(cos⁡xsin⁡x^2) Putting x=(π)/2, we get, dy/dx=1/16⋅(1.161-0)/(1^2)=1

If $y = \cos x \cos 2 x \cos 4 x \cos 8 x$ , then $\frac{d y}{d x}$ at $x = \frac{π}{2}$ is

Solution

More Differentiation Questions

If y=cos⁡xcos⁡2xcos⁡4xcos⁡8x, then dydx at x=π2 is

Solution

More Differentiation Questions

If $y = \cos x \cos 2 x \cos 4 x \cos 8 x$ , then $\frac{d y}{d x}$ at $x = \frac{π}{2}$ is