Find the equation of the tangent to the curve at the given value of x.

a. y = x⁴ – 3 at x = 1

b. y = x² + 3x + 2 at x = -2

c. y = 2x³ + 5x² – 1 at x = 1

d. y = 5 + 2/x at x = -2

e. y = (x -3) (2x – 1)² at x = 2

f. y = x/x+1 at x = - 3