Question

If f(x)= the square root of 4sinx+2 then f'(0) equals what

Answer 1

`f(x) = √(4*sin(x)+2)`

`f(0) = √(4*sin(0)+2)`
Now what is the sine of 0?
We can take a look at the Unit Circle, angle 0. On the Unit Circle, sine of 0 is 0 (also because: (cos, sin), and sin = y, and angle 0 is 0 on the y-axis.)

`f(0) = √(4*0+2)`

`f(0) = √(2)`

Hope this helps!