Answer:
If the slope is positive it is increasing if the slope is negative it is decreasing :)
Example:
Y=mX+b
If m is positive it is a positive slope
The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
The answer would be D, I'm sure that is correct so you dont need to check <3 b e l i e v e i n m e