A differentiable function f(x, y) has the property that f(3,4)=4 and fx(3,4)=4 and fy(3,4)=−6. Find the equation of the tangent plane at the point on the surface z=f(x, y) where x=3, y=4

Step-by-step explanation:

The equation of the tangent plane to the surface z=f(x,y) in a arbitrary point (x₀,y₀,z₀) is:

(1)

We can define each value using our information:

Now, we just need to put these values into the the equation (1)

Simplifying this equation we will have:

I hope it helps you!

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step-by-step explanation:

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