Practice question · Put in order
Order the steps to find the tangent plane to at (a,b).
- Compute fᵧ(a,b)
- Compute to find the z-value
- Write ᵧ(a,b)(y−b)
- Compute (a,b)
- Simplify the equation
Hints
- Both partial derivatives must be evaluated at the point first.
- They become the two slopes in the plane's equation.
Show the answer
- Compute to find the z-value
- Compute (a,b)
- Compute fᵧ(a,b)
- Write ᵧ(a,b)(y−b)
- Simplify the equation
Why
The tangent plane is the best linear approximation to f near (a,b).
Practise Partial Derivatives
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