is the derivative of sin x.... -cos(x) or cos(x)

[phatj]

which is it?

 

[cchen]

too lazy to search for it yourself?

btw the answer is cos

 

[NeoMadHatter]

integral is -cos(x)+C

 

[LordUnum]

cos x is the derivative of sin x.

- cos x is the anti-derivative.

It goes sin x => cos x => - sin x => - cos x in a loop.

 

[Hector13]

Originally posted by: phatj
which is it?

why don't you think of what a derivative is (the "slope" of a function) and think of what the slope of sin(x) is around the origin (sin(x) slopes upward from 0 to the positive x values). Now think of what function would give you such a slope, cos(x) which is 1 at x=0 or -cos(x) which is -1.

 

[clamum]

If you get confused on if there's a negative sign in front of a derivative, it helps to remember that the derivative of a function that starts with a 'c' always has a negative sign in front of the answer (eg derivative of cos(x) = -sin(x), derivative of csc(x) = -csc(x) cot(x), derivative of cot(x) = -csc2(x)).

 

[skim milk]

cos (x)

anti-derivative of sin x is -cos(x)

 

[Hector13]

Originally posted by: americangigolo
If you get confused on if there's a negative sign in front of a derivative, it helps to remember that the derivative of a function that starts with a 'c' always has a negative sign in front of the answer (eg derivative of cos(x) = -sin(x), derivative of csc(x) = -csc(x) cot(x), derivative of cot(x) = -csc2(x)).

ack! what about cosh?

 

[clamum]

Originally posted by: Hector13

Originally posted by: americangigolo
If you get confused on if there's a negative sign in front of a derivative, it helps to remember that the derivative of a function that starts with a 'c' always has a negative sign in front of the answer (eg derivative of cos(x) = -sin(x), derivative of csc(x) = -csc(x) cot(x), derivative of cot(x) = -csc2(x)).

ack! what about cosh?

Haha! Oops forgot about that one. I was referring to the regular trig functions, not the hyperbolic ones. Good point! 🙂

 

[simms]

cos(x)

 

[her209]

The asnwer is: 3

 

[phatj]

thanks all.... the anti deriv and the deriv always own me when it comes to remembering the sign (pos/neg)