6 The gradient, \(\frac { \mathrm { d } y } { \mathrm {~d} x }\), of a curve at the point \(( x , y )\) is given by
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 10 x ^ { 4 } - 6 x ^ { 2 } + 5$$
The curve passes through the point \(P ( 1,4 )\).
- Find the equation of the tangent to the curve at the point \(P\), giving your answer in the form \(y = m x + c\).
- Find the equation of the curve.