Answer to Question #178577 in Calculus for John

Question

Differentiate y with respect to X and hence find the gradient of the tangent to the curve

  y=4x² + 3x +2 when x=2

Answer 1

$y' = 8x + 3\\ \textsf{Gradient at }\,\, x = 2 \,\, \textsf{is}\,\,8(2) + 3 = 19.$