Test:38 QNo:3

find dy/dx where y=cos3(2x)

6 Answers

1
Manmay kumar Mohanty ·

some one tell me the ans. given was -3cos2xsin4x. HOW?

1
Ajaay Srinivasan ·

is dis d ans....................

-6sin(2x)cos_square(2x)

49
Subhomoy Bakshi ·

ohh yea
same answers....[4][3][3]

39
Pritish Chakraborty ·

\frac {dy}{dx} = 3 cos^{2}(2x). (-sin(2x)) .2 = -6cos^{2}(2x)sin(2x)

1
akshay sharma ·

y=cos3 (2x)

dy/dx=3cos2(2x).2sin(2x).2

= -3cos(2x).cos(2X).2sin(2x)

= -3cos(2x)[2sin(2x).cos(2x)]

= -3cos(2x)sin(4x)

thus ans given z absolutely correct.................

49
Subhomoy Bakshi ·

y=cos^{3}(2x)
\Rightarrow \frac{dy}{dx}=\frac{d}{dx}cos^{3}(2x)
\Rightarrow \frac{dy}{dx}=3cos^{2}(2x)[-2sin(2x)]=-3cos(2x)[2sin(2x)cos(2x)]=-3cos(2x)sin(4x)

any way both the answers are correct!!

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