Find a unit vector in the direction in which f(x, y) = 3r'y increases most rapidly at P(-1,1), and find the rate of change of f at P in that direction. NOTE: Enter the exact answers. ||Vf(-1, 1) || =

Q: I am a derivative of wire with respect to the theta 

A: Given y = log10 3θdydθ = ?

Q: Solve for e) only, I have posted a) b) c) d) on the Barterby and received the answer.

A: E.) step 1. We must carry out the computations necessary to determine the values of y2​,y3​,andy4​…

Q: Find the derivative of fl6)-32" ). (v²+5) tan (5x

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 7.- Find the directional derivative of = x²-y-z + 4x.z² at the…

A:

Q: Get the derivative of the function. Write the final answer in x+jy form 22-9 22 + 1 20z j20y…

A:

Q: 1. Find the first differentiation of this equation: a. y = (Sx2-3)a b. y = (4x2 – 7)3 c. y Sx+6…

A:

Q: Find the equation of the tangent line at y = 0, given the inverse function x = (3y + 2)V + 1)². A) y…

A: Given equation is x=3y+2y+12. We have to find the equation of the tangent line at y=0. At y=0, x=2…

Q: Let f: R² → R be a differentiable function. (a) At the point (ro. Yo) = (1,5), it is known that the…

A: Given That : Equation of tangent plane to the surface z=fx , y is -2x+3y-z=17. To Find : a)…

Q: Find the indicated derivative. "针 1 if p = Vq+7 dq Select one: A.-, (q +7Wq+7 B. 1. + bML+bz C.…

A:

Q: 2 6. For the function(x) = 2x² approximate the slope of the tangent line at (1,2)

A:

Q: Find the derivative of the function at P, in the direction of A. 0. fxy,2) 3D ху + yz +zx, Pо(3, -…

A:

Q: What is the directional derivative of the function f(x.y)-2xy-3y at point p.- (5,5) in the direction…

A: To find: The directional derivative of the function f(x,y)=2xy-3y2 at point P=(5,5) in the direction…

Q: compute the derivative

A:

Q: Suppose utility function takes the following form: uz = u(c¿, m,, l;) = (c;m¿)'l&.

A:

Q: Find the derivative of the function f (, y, z) = 4ay z at the point (4, 64, 16) in the direction of…

A:

Q: (u(t)xv(t)) = 00)

A: Given that the expression

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. 6. V12…

A:

Q: b) Find the derivative of ľ 1 et In ydy.

A:

Q: if r'y-- 2y + 1.

A:

Q: Use logarithmic differentiation to find for the curve defined by (r+1)"

A: Given,            x + 1y=y2x

Q: The derivative of ƒ(x, y) at P0(1, 2) in the direction of i + j is 2sqrt(2) and in the direction of…

A:

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER 1. f(0) =…

A: The linear dependency of functions can be evaluated using the value of the Wronskian of those…

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. dr 6.…

A:

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function (The…

A:

Q: Determine the derivative of y = 24*. A. 24x+2 In 2 C. 34x+2 In 2 B. 63r+2 In 2 D. 44*+2 In 2

A: So in this we have to do simple derivative of given so I'm providing hand written solution for this

Q: 1. Let f(x) = x³ – 5x + 2, Use Derivative Rules to find the following: a) Find the equation of the…

A: