# Thread: Taylor Approx

1. ## Taylor Approx

Approximate, using a first order Taylor approximation

2. Originally Posted by matty888
Approximate, using a first order Taylor approximation
Consider the function $f(x,y) = (x^2+y^3)^{1/4}$.
The equation of the tangent plane at $x_0=4,y_0=0,z_0=2$ is: $z -z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)$

Can you continue from here?