f(x) = (x^2 + 3x -2)^2

Let us calculate f'(x)

f'(x) = 2(x^2 + 3x -2) *(2x + 3)

= (2x^2 + 6x -4 )(2x + 3)

f'(1) = (2 + 6 -4)(2 +3)

= 4*5 = 20

==> f'(1) = 20

f(x) = (x^2 + 3x -2)^2

Let us calculate f'(x)

f'(x) = 2(x^2 + 3x -2) *(2x + 3)

= (2x^2 + 6x -4 )(2x + 3)

f'(1) = (2 + 6 -4)(2 +3)

= 4*5 = 20

==> f'(1) = 20