f(x, y, z) = xy°z +x*yz² – sin xy + cos yz Which of the following is the 1st order derivative of the function sin xy + cos yz with respect to z? A) xy² + 2x² yz - y sin yz D) xy'z + 6x yz – ysin yz – cos yz O B) xy'z +x² yz – y sin yz + sin xy DE) xy² + 4x²yz² - y sin yz + sin xy O C) 2xy² + 2x²yz – yxsin yz –x cos yz

Q: 2 (y – k) y' = 4a Find the Derivative - d/dy Since 4a is constant with respect to y, the derivative…

A: (1). The given expression is:2y-ky'=4a

Q: z + 2.5 -3 = Z

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Q: Find the derivative of the function. 4 y = =sec² x sec² 5 O a) a) y'=sec² sec² xtanx

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Q: The derivative of the function y = cot¬1(cscx) is: is: cSc X cot x y' csc x cot x y' csc²x+1 csc?x+1…

A: Find the derivative of the function

Q: All Sections 1) Solve the following equations for t Jy evt = 2) Find the derivative of y with…

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Q: Find y SX a) y = 3 sin (x² + 5x - 3) y' = c) y = sin" (6x) y'= b) xE5X+2 d) y = In (2x) Y₁ = Y y' =

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Q: The maximum directional derivative of f(z,y,2) sin(zy)-ya +10 at (-1, 2, 0) is Question 5

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Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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Q: If F(x,y,z)=sin(x³y²)+cos (Vxy2)+x®y²z, then fyz(1,-2,1)=

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Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

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Q: a3 f 2- Find the third derivative for for f (x, y) = sin əx3 -2sin?cos()+2 sin) sin By'sini )+2…

A: The given function isf(x, y)=sinxy

Q: iv is analytic = -11..

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Q: 2 Find the Cerivative o3 a) y°(x+2)= c3

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Q: x2 + 8x +3 10) y=- _ dy A) 3x2 + 8x - 3 dx X Find the derivative. A) 11) s= t3 tan t-√√t ds dt C) dy…

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Q: L (sin? t) What is f (t), f' (t) and f (0) ? O b) O a) f (t) = sin t, f' (t) = 2 cost, f (0) = 0 f…

A: We will find out the required solution.

Q: 2. At what points of R² is the function continuous? (sin(x² + y²) x² + y² f(x, y) = 0, -, if (x, y)…

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Q: Valero's 5k Fun Run was held yesterday in the downtown district. The top runner 4 runners (one of…

A: Given 1. Ralph finished 1 minute after the competitor in the white shirt. 2. The competitor in the…

Q: 1- Find dB/dx for the follow ing functi'on a)- xy = Cot (xy) b- y Sim(hs =-メy %3D c)- y?cos () 2x+2y…

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Q: Use implicit differentiation to find dy/dx. 18) y cos = 4x + 4y - y sin A)- cos B) sin 4y 4y2 D)-…

A: 18.we have y cos(1y) =4x+4y⇒dydx(cos(1y) )+ysin(1y)×1y2dydx…

Q: What is the first-order derivative of y = x^y?

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Q: (x³ + bx + a, xs-1 lbx? - Let f(x) = .Then the values of a and b so that the %3D -a, x >-1…

A: The function is: f(x)=x3+bx+a, x≤-1bx2-a,      x>-1 So, the function is continuous at x=-1 if…