Find the derivative of 2x+ sin x?

Question

I thought it was 2+ cos x...I think I'm steps.

Answer 1

Let's call f the function defined for all the real values of x by f(x)=2x+sinx

f is derivable for all the real values of x.

f'(x)=2+cosx

Answer 2

That's correct.

Answer 3

f (x) = 2x + sin x

f `(x) = 2 + cos x---------AGREED !!!

Answer 4

Hi,

You are absolutely correct!  The derivative of any linear term is just the slope [coefficient on x] which makes dy/dx[2x] = 2.

Now, by definition the derivative of sin(x) is cos(x) which is correct by how you notated it! =)

Good Work!

I hope that helps you out!  Please let me know if you have any other questions!