3) This is the only question which requires that you compute the partial derivative from the definition. A) Given some f(x,y) write the precise "A" limit definition for the partial derivative of at the point the (1,5) of for f (x,y) 3x at (1,5) Show У +4 B) Use the "A" limit definition to compute each algebraic step clearly and do not apply any rules of differentiation. Do not remove the "lim" notation until the derivative is complete.

Q: f(x+h)-f(a) a.) Find the derivative function, f'(x) = lim h-0 b.) Determine the slope of the curve,…

A:

Q: Q2/ A) Use the definition of the derivative to find f(x) where f(x)=v3x+1

A: To find the derivative of given f(x) using the definition of the derivative.

Q: Exercise 5: For the following graphs, sketch a graph of the derivative (i.e., you are given f;…

A: Consider the given curve of f(x).

Q: Suppose the number N of loons on a lake after x hours is modeled by N = f(x)3D V2x + 1. a) State the…

A: Number of loons, N on a lake after x hours is modeled by,

Q: Find the derivative of the function at P, in the direction of A. f(x,y) — - Зху + 4y*, Po(-6, - 5),…

A:

Q: Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

A:

Q: b)F(x)=(x* + 2x )'

A: For the given function  F(x)  = (x6+2x)5 Derivative of above function is calculated as shown below…

Q: Compute the slope of the secant line containing the points (1, f (1)) and D) on the graph of f (x) =…

A:

Q: At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a…

A: Consider the given information.

Q: Use the limit DEFINITION OF A DERIVATIVE to find the derivative of the function. 16) f(x) = Vx + 5…

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=x+5.

Q: Use the definition of the derivative to find f(x) where f(x)=DV3x+1

A: f(x)=3x+1

Q: Find the derivative of f (z) = (2²-32-9)" by following these steps. You may assumey-(e) Identify the…

A: The given function is

Q: 6. Consider the DERIVATIVE f' graphed below. Sketch a possible graph of the original function f on…

A:

Q: -3 at the point (9,-1) using only the limit 3. Find the exact equation of the tangent line to the…

A:

Q: b) caleulate the lerivative of f Cx) by USing product rule flx) = (2-3x)? the

A:

Q: 8) Find the derivative of each function: 2. a)g(x) = 3x +5x

A:

Q: h f(4)= -2, f'(4)=3, g(4) = -4, and g'(4) = -2. Find an equation of the line tangent to the graph of…

A: Given : Assume that the functions f and g are differentiable with f4=-2,f'4=3,g4=-4 and g'4=-2. To…