Question

The tangent plane to the surface with equation $z = x \ln(y) + x^4y + 1$ at the point $(x, y, z) = (4, 1, 257)$ has the equation $z = $ (write the appropriate function of $x$ and $y$)

          The tangent plane to the surface with equation
$z = x \ln(y) + x^4y + 1$
at the point $(x, y, z) = (4, 1, 257)$ has the equation $z = $ 
(write the appropriate function of $x$ and $y$)

Added by Charles E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

07/25/2023

Step 1

Step 1: First, we need to find the partial derivatives of the given surface equation with respect to x and y. Show more…

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The tangent plane to the surface with equation z=xln(y)+x^(4)y+1 at the point (x,y,z)=(4,1,257) has the equation z= (write the appropriate function of x and y ) The tangent plane to the surface with eguation z=x ln(y)+x4 y+1 at the point (,y,z)=(4,1,257) has the equation z= 3 (write the appropriate function of and y)