-3y те f(x, y) = ze Find f. (x, y). fay(x, y), and fyr (r, y). Y y ln 2x

Q: f(x,y)= eaxy fxx = eaxy ·(24) ²₂ fxy = e² fyy = eaxy. (2x)² fyx = -2xy. 24 axy, fx = e fy= e 2xy.…

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Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: ind the slope in the x-direction at the at P(0, 2, ƒ(0, 2)) on the graph of f when f(x, y) slope = 0…

A: We will find the required.

Q: Find y as a function of x if x²y" +5xy - 12y = x², y(1) = −9, y(1) = 9. y=

A: We have to find as a function of .

Q: Find the value of fa and fy at (1, -1) when 4 f(x,y) =+5x²+3y². xy 1. 1- = 9, f = = -7 2 2. f= = =…

A: use partial differentiation for finding the solution.

Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

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Q: We are standing at the point (4, 2) on the map, on a hill that can be described by the function f…

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Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: 5 dy 3x4 – 4T + x2 Find the derivative dx, y

A: We have given the equation; We shall use the formula of derivatives that is;

Q: f(x) = V5 + v6x. Find f '(x).

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Q: Differentiate implicitly to find d2y/dx2.   3y2−xy+5x2=5

A: Differentiate implicitly to find d2y/dx2.  3y^2−xy+5x^2=5

Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

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Q: 1. Known function x) = 3x A. -26 В. С. -7 5. The derivative of f (x) is f '(x) is %3D D. 3 E. 7 А.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: g(x,y) = sq root of (5xy - 3x) find gx and g

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Q: Find the derivative. y e How did you determ

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Q: )

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Q: The productivity of a manufacturing company is given approximately by the function f(x,y) = 20x y0.5…

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Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: Calculate fxyy for f(x,y) = x 3 + y2ex.

A: Given function is fx,y=x3+y2ex. To calculate: fxyy. Solution: fxyy means first partial derivative of…

Q: Find ƒx and ƒy when ƒ(x, y) = 3x2y + 2.

A: we have to find the derivative of the function f(x,y) = 3x2y + 2 w.r.t x and y

Q: Find the inflection point(s) of the function f(x) = 3e¬x. %3D (х, у) %3D (smaller x-value) (х, у)…

A: Given,  f(x)=3e-x2