Is it correct to deduce the tangent of f(x) = 5x^3 + 5x^2 + x +
1 at x = 0.5 to be y = 9.75x - 1.5? If yes, could you show the
workings? I have this software named Graph v4.4
(http://www.padowan.dk ), which deduced the tangent above, and,
according to my knowledge the tangent would be calculated by
drawing the dy/dx as follows: 15x^2 + 10x + 1 where, x = 0.5. Am
I mistaken? Lacking experience with your software and not
knowing how you are using it, it is not possible to provide a
review of its output. However, since tangent lines are typically
linear equations, it seems unlikely that the equation of the
tangent in a quadratic. Perhaps you are confusing "derivative of
the equation" with "slope of the tangent at one particular
point". To determine the equation of the line which is tangent
to a particular point, one finds the derivative, evaluates to
find the value of the slope at that particular point , and then
creates the linear equation with that slope at the given point,
using methodology from one's earlier