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Equation of a tangent line at point `(x_0,y_0)` to the graph of `y=f(x)` is
So let's calculate `f'(x)`
Hence equation of the tangent line at the point `(x_0,y_0)` is
For example equation of the tangent line at point (0,14) would be
Blue is your function `y=14e^(9x)` and red is the tangent line at point (0,14).
`y=126x e^(9x_0)-126x_0 e^(9x_0)+y_0`
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