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Question 7 The gradient of the following function $f(x, y, z) = e^{x^3 + y^3 + z^3}$, is f (x, y, z) [1, 1, 1] [3x$^2$, 3y$^2$, 3z$^2$] 3 f (x, y, z) [x$^2$, y$^2$, z$^2$] f(x, y, z) (3x$^2$ + 3y$^2$ + 3z$^2$) 3 pts

          Question 7
The gradient of the following function $f(x, y, z) = e^{x^3 + y^3 + z^3}$, is
f (x, y, z) [1, 1, 1]
[3x$^2$, 3y$^2$, 3z$^2$]
3 f (x, y, z) [x$^2$, y$^2$, z$^2$]
f(x, y, z) (3x$^2$ + 3y$^2$ + 3z$^2$)
3 pts

Added by Veronica W.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Tyna Senecal

Step 1

The gradient of a function is a vector that contains the partial derivatives of the function with respect to each variable. In this case, we have three variables x, y, and z. So, the gradient of f(x,y,z) is given by: ∇f(x,y,z) = (∂f/∂x, ∂f/∂y, ∂f/∂z) Show more…

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Question 7 3 pts The gradient of the following function f(x,y,z) = 0 + y + z^3 is f(x,y,2) = [1,1,1] [3x^2, 3y, 322] 3f(x,y,2) = [x^2, y, 2] f(x,y,z) = (3x^2 + 3y + 322)