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: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

Q: Differentiate the followings. (x+ (i) y =

A: If given an expression of a function which is a multiplication of two separate functions. In order…

Q: The equation of then tangent line to y?e2* = 3y + x2 at (0,3) is y= – 6x + 3 A) True B) False

A:

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: e +e =e**

A:

Q: If possible, represent y as a differentiable function of x.                                    a. x2…

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Q: . Find the derivative. Hint: simplify before differentia 1 а. у — (4x)3 Gac3 122 2a4 L 1

A: Since multiple questions are asked I am answering first

Q: Find the slope in the x-direction at the point P(0, 2, f(0, 2)) on the graph of f when f (x, y) 3(y?…

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Q: Find the derivative of y with respect to the appropriate variable. y=cosh ¹2√√x+10 O A. B. O C. O D.…

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Q: a. Find the direction in which the function increase and decrease most rapidly at point Po. Then…

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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: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: According to the following data: (0,0), (0.2, 1), (0.4, 3), (0.6, 5), (0.8, 7), (1.0, 5), (1.2, 3)…

A: 6hD=-9i-2-10i-13i-2i+14i+2 0,0, 0.2,1, 0.4,3, 0.6,5, 0.8,7, 1.0,5,1.2,3

Q: 11. In y = e" sin x

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Q: ind the derivative of the function f(x,y) = x +xy + y at the point (5,6) in the direction O A. - 545…

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Q: find range of y 1 1 X-2 R/{1,2} O R/{2} O R/{1} O R/{0,1} O 1-

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