Find the inflection point(s) of the function  f(x) = 7e−x2. smaller x-value (x, y) =             larger x-value (x, y) =

Q: Find the linearization of the function f (x) = x' at x = 1. L (x) =

A:

Q: What does it mean for a function of two variables, f (x, y),to be differentiable at a point (a, b)?

A: A function differentiable at a point has a derivative that is defined at that point. This is defined…

Q: Find the critical numbers of the function

A: We find g'(y) using the quotient rule

Q: ,2 For function f (x, y) x2+1 Evaluate the gradient at the point (1,2)

A:

Q: The cubic function y = ax3 + bx² + cx + d pass through (0, -6), (1, -2) and tangent to the line 3x –…

A:

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x? +…

A:

Q: 4xy* :- find f,,f, at point (4,1) for f(x,y) = x’e**Y

A: I have used partial differentiation

Q: One of the critical points of the function z = f(x,y) = 4x -12xy+ y +1 is (0,0,1). [Notice that I !!…

A:

Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

A:

Q: of of For the function f(x,y)% 9x2- 3y°-4, find and dx dy of II

A: While calculating the partial differentiation of a function with respect to X we consider the other…

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 2a? –…

A:

Q: Find the values of a, y and z that correspond to the critical point of the function: f(z, y) = 42° +…

A: The complete solution is in given below

Q: Find the critical numbers of the function. y- 2 g(y) = %3D y2 - 2y + 4

A:

Q: 3. Find the derivative of the function f(x, y, z) = xy³ + yz³ + zx³ at the point (-1, 2, 1) in the…

A:

Q: Q3. Find the coordinates of the point(s) of the function y 3x'-5x+2, where the tangent has a…

A:

Q: Find the values of x, y and z that correspond to the critical point of the function: z = f(x, y) =…

A:

Q: Q3. Find the coordinates of the point(s) of the function y=3x – 5x +2, where the tangent has a…

A:

Q: Find the linearization of the function f(x, y) = /36 – læ² – 2y² at the point (3, -1). L(x, y) = Use…

A:

Q: What does it mean for a function ƒ(x, y) to be differentiable? What does the Increment Theorem say…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Consider the function f(x) = 3z10 + 3z° – 3z² – 4. Enter the general antiderivative of f(z)

A: Given function is : f(x)=3x10+3x5-3x2-4 We have to find antiderivative(integral) of the given…

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: f(x, y) = 4x² – y²

A:

Q: What is the linear approximation of the function f (x) = e x at x = 1?

A:

Q: Find the critical point of the function: f(x, y) = 4x2 + 2y2 − xy + x

A: we have given a function f(x, y)  We have to find the critical point

Q: Find the maximum rate of change of the function f(x,y) =4x^2-2y^3 at the point (1,1)

A: Given data: The given function is f(x,y)=4x2-2y3. The given point is (a, b)=(1, 1). The expression…

Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the…

A: First I have written the rule of minimum rate of change of a function at given point and then find…

Q: Find the maximum and minimum values of f(x, y) = (x- y) e- + y)

A:

Q: 2. y = V4-x , x=0 and y=0 about the y- axis

A: Given that y=4-x2, x=0 and y=0 about the y-axis

Q: The curve y = 2x² +- k has a gradient of 5 when x 2. Calculate: (а) The value of k. (b) The minimum…

A:

Q: (a) Find the critical point of f(r, y) = (4x² – 3) (2² + 43y). (x, y) (b) Find the discriminant,…

A:

Q: Find the gradient of the function at the given point. g(x, y) = 5xev/x, (8, 0)

A: Follow the procedure given below.

Q: е. e. f(x,y) = x² +y f. f(x,y) = Jx² + y

A: Here we use the chain rule.

Q: y/ = y³ – y² – 6y where y is the dependent variable which is a function of the independent variable…

A: solution is attached below with detailed explanation.

Q: Find the critical points for the function f(x, y) = x² + y³ + 2xy – 2x – 7y. (You do not need to…

A:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A:

Q: The general solution of Besseal function is given by y = c,J,(x) +y,(x)

A: Given statement, The general solution of Bessel function is given by y=C1Inx+ynx

Q: Let the supply and demand functions for bottles of wine be given by p S(x)= 0.35x where p is the…

A: Given:

Q: Examine the function f (x, y) = x3 − 6xy + y3 for relative extrema and saddle points.

A:

Q: Find the critical numbers of the function. y - 3 y2 – y + 3 g(y) = y = 0 (smaller value) y = 3 |×…

A:

Q: The slope of the secant line of the function y =Vx +x through the points x, = 1 and the point xz = 4…

A: y=x+x

Q: Find the linear approximation of the function y = x' at point xo 1 О а. у %3D Зх — 2 -

A:

Q: · y = Vx - x, (1, 0)

A:

Q: Classify the critical point (5,-4) for f(x,y) = x² + 4xy + 2y2 + 6x-4y +3

A:

Q: Find f fy. - f(x.y.z) = x - Vy² + 22? + 2z² = (Type an exact answer using

A: Here we have to find fx , fy and fz  of

Q: The demand function for the Luminar desk lamp is given by   p = f(x) = −0.1x2 − 0.5x + 22   where…

A: Given:Demand function

Q: Please solve both of them from question  dz/dx dz/dy

A: For partial derivative with respect to x, y is treated as constant. Then use exponent rule for x.

Q: Find the critical point of the function f(r, y) = – 4+ 8z + 7z - 5y + 6y

A: Find the critical point (x,y)

Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Q: the demand function for the luminar desk lamp is given by p = f'(x) = -0.1x^2 -0.8x + 28 where x is…

A: Given  p=fx=-0.1x2-0.8x+28