Use the chain rule to find the indicated partial derivative z = x4 + x²y, x = s + 2t - u, y = stu2 дz дz дz дѕ аt ди дz Əs дz at дz ди || || X X X when s = 2, t = 4, u = 5

Q: What is the partial derivative, ә ду [x²y³ - 2xy + x³y-2-2x]? 3

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Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: y" y' = Note: You can earn partial credit on this problem. Find the inflection points of f(x) = 6x4…

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Q: Can you explain why you left the partial derivative on the left as is, but on the right you changed…

A: This is the method to solve the exact differential equation. I attach that method and solve it again…

Q: Find the derivative of the function at P, in the direction of A. f(x,y) — - Зху + 4y*, Po(-6, - 5),…

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Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: Find all second order partial derivatives of the given functions f(x, y) = cos(2xy2 3x?y3)

A: Consider: fx,y=cos2xy2-3x2y3. Calculate: ∂2f∂x2. Apply chain rule: ∂u∂x=∂u∂v∂v∂x Let u=cos2xy2-3x2y3…

Q: Which of the following pair of functions is linearly independent? (a) e3*, e(x-3) (b) 4, sin?x +…

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Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Find the derivative: n[(x³ + 2) (x² + 3)]. Evaluate S dx. Зx8 — 2 2x*- x2 Evaluate dx.

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Q: 6x?e- is The derivative of y a) None of these b) 6xe (2 – x) - c) 6xe (1 + x) d) 12xe (1 – x) - e)…

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Q: 4 Determine the derivative of y = 3x

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: the derivative () of = f(x) = 2

A: Please refer to the image below

Q: Find the partial derivatives w = 6exy log(x2 + y2) Əw Әх aw ду Əw aw Әх' ду

A: Given w=6exylog(x2+y2)⇒∂w∂x=6y.exylog(x2+y2)+exy.2xx2+y2and ∂w∂y=6x.exylog(x2+y2)+exy.2yx2+y2

Q: use product rule, find derivative of x.y³ 1.y³+x. 3y²y' 1.y³ + x. 3y² x. 3y²y' noe of the above

A: Let z=xy3

Q: 2) s(t)=5e" (3r -51)

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Q: 04:- Use the Chain rule to find the derivative ) of z = 3x2 - 2 xy y and If x=x (u, v) = 3u + 2v and…

A: Please refer to the image below.

Q: Find the directions in which f increases and decreases most rapidly at point P. Then find the…

A: Step:-1

Q: Calculate the partial derivative using implicit differentiation of exy + sin (7xz) + 4y = 0. dy

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