1. Let z=f(x,y)=6x² - 4xy+ Oy. Find the following using the formal definition of the partial derivative. a. b. a. dz || d dz | ■ I b. (4-5). d. f,(1.-5)-[ dz dy of 0.-4.-5) d. f,(1.-5) (Simplify your answer.) (Simplify your answer.)

Q: Find partial derivative, zg and Zy for the following function: e 2x²+3y Z =

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Q: Find the derivative of the function. u4 + 9Vu f(u) = 9-u11 +17. 64 – 27. 1u -11. u – 6 eT + u2 F(u)…

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Q: Find the derivatives of the function x²(xy² y)² = x² - y² )

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Q: Find the derivative of y with respect to x. (Hint: chain rule) y = -csc-1 24 V(8x + 92 - 9 24 (8x +…

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Q: Find the directional derivative of f(x, y, z) = xy + z³ at the point P = (3, -4, -3) in the…

A: Use the given information.

Q: Find the following derivatives. Express your answer in terms of the independent variables  ws and…

A: To find out ws, wt

Q: Which of the following pair of functions linearly independent

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Q: Below is the graph of a function. Which of the following could be a graph of its c 3 2 1 -2 T3/ 1 2…

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Q: Find the derivatives of the functions

A: The derivative of the given function can be found with the help of the one-time differentiation with…

Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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Q: x3 + xy² + x + i(x²y + y³ – y) x² + y2 F(z)

A: We have to find the derivative of f(z).

Q: Q. 6. Consider f (x) = -* + 2x + 1. x3 3x2 3 Use derivatives to separate the regions where function…

A: If f′(x) > 0, then f is increasing on the interval,and if f′(x) < 0, then f is decreasing on…

Q: Determine the directional derivative of f at the specified point and direction. f(x) = x³ + y³ – 3x?…

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Q: 6 -81 3 II

A: We have to find the value

Q: i. ii. following functions. y = 6x² 10x - 5x-² V= 1+x-4√x x

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Q: When would you use a partial derivative? When you only need to differentiate half of a function. O…

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Q: Find the second derivative of f (x) if ƒ (x) = (2x + 3)* %3D A) 4(2x + 3)³ (B) 8(2x + 3)3 (C) 12(2x…

A: Proceed as shown...

Q: Match the end behavior with the equation

A: Answer

Q: 12. a(t) a' (t) b(t) b'(t) -4 2 -3 -4 1 a. f(t) = a(t)b(t) Find f'(-4). b. g(t) = -3a(t)b(t) Find…

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Q: I. Find the derivatives of the following functions: 4. -3xy? + 5x²y² = 2x² %3D

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Q: Find the derivative of the function. +4 98 +6 24 24 O dp dq 6q1. %3! O dp dq + 29° + 3q° + 24 O dp -…

A: First of all simplify the given function, then differentiate p w.r.t q.

Q: Let f(x) =4x divided by x -3. Find the slope of the secant lines on the graph of F through P(5, 10)…

A: f(x)=4x/(x-3) P(5,10) and Q (6, a)  (say) a= f(6)= 24/3 =8  Q(6,8) is