f (x, y, z) = arctan(x² + 2y + z) At the point A(0,1,0) along the direction ñ, where n is the tangent vector of the curve C at the point B(2,0, v2). (x² + y² + z² – 3x = 0 - 2x – y – 4 = 0 C =

Q: What is the meaning of a derivative?

A:

Q: 2 dx (1+x²)3/2

A:

Q: Sketch a graph given two sign charts of a function and it's derivative.

A: The graph of a function can be drawn using the sign charts of the function. The sign charts show the…

Q: How can you use directional derivatives to estimate change?

A: Let f be a differentiable function. The directional derivative of f in a particular direction at a…

Q: Let f(x) = r - 3z2 - 1. Calculate the derivative

A:

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: -1 8y ¹ ($) ₁ f(x, y) = tan¯ (Duf) p = ху + 5 sin¯¹ (XY), P = (64, 8), u = 7i+6j 1024

A: Given: f(x,y)= tan-1(8y/x)+ 5Sin-1(xy/1024) Point P(64,8) Vector u= 7i+6j

Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…

Q: Find the derivative of cosx/sinx.

A: ddxcosxsinx