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Question: Drawing tangentplane to a function in 3D

Question:Drawing tangentplane to a function in 3D

Injective 10 Maple
plotting tangent
April 07 2022
2

Hello all,

I am considering the function f(t,u)=e^(t^2+10*u-1)

I am also considering the tangent plane g(t,u)=-121+22*t+10*u at point (11,-12).

I would like to draw a 3Dplot in maple that shows the tangentplane touching the graph of f(t,u) at point (11,-12). 

I have typed the following :
 

plot3d([exp(t^2 + 10*u - 1), -121 + 22*t + 10*u], t = -1 .. 1, u = -0.7 .. 0.7, color = [red, green])
 

The 3Dplot is not correct. I have spent much time getting it to work. Could someone please assist me?

Thanks.
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