Question

How do you differentiate `f(x)=x+1+(x+2)^2`?

Answer 1

`f'(x)=2x+5`

Explanation:

differentiate `(x+2)^2" using the "color(blue)"chain rule"`

`f(x)=x+1+(x+2)^2`

`rArrf'(x)=1+0+2(x+2)^1.d/dx(x+2)`

`=1+2x+4=2x+5`