Derivatives question?

1 ⤊

Derivatives question?

Is 3 sin x = sin3x?

Why is the derivative of sin3x= 3*sin3x?

2007-01-20 03:14:57 · 4 answers · asked by truefreedom21 3 in Science & Mathematics ➔ Mathematics

4 answers

3sinx does not equal sin3x

the deriv of sin3x is (cos3x)*3, not 3*sin3x

2007-01-20 03:22:15 · answer #1 · answered by kingsmansoysauce 2 · 1⤊ 0⤋

No, you should try an example x=3Odeg sin x= 1/2 so 3sinx =3/2
3x=90deg so sin3 x=1

Using the chain rule sin u witith u=3x (sin u)Â´= cos u * uÂ´ =
3*cos 3x.
Your statement is wrong

2007-01-20 04:42:59 · answer #2 · answered by santmann2002 7 · 0⤊ 0⤋

I am sorry it is not
sin3x= 3sin x- 4(sin x)^3
and
cos3x= 4(cos x)^3- 3cos x

2007-01-20 03:33:43 · answer #3 · answered by Phuong Nam 2 · 0⤊ 0⤋

-3 hypCosecent X

2007-01-20 03:18:17 · answer #4 · answered by {☻§¤♥¿ð΅ΨΩΘΦЖ۞♫∞☺} 3 · 0⤊ 3⤋