Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u 12i + 5j (Dug) (-1,1) (Simplify your answer.) =

Q: use product rule, find derivative of x.y3 O 1.y3 + x. 3y2y' O 1.y° + x. 3y? O x. 3y2y' noe of the…

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Q: Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

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Q: Find the derivative of the function y = x²e\" Select one: O a. xe"(3 – 2x) O b. xe"(3 + 2x) O…

A: rule:chain rule of derivativeddxg(x).h(x) = g(x) ddxh(x) +h(x) ddxg(x)

Q: Find the derivative of the function. 7x 7x flu) du J3x 0 fu) 3x d du g(x) Hint: fu) 3x u5 g'(x)

A: To determine the derivative of the function.

Q: (10. a = [-1, 5,2], b = [3, 2,-6], and c = [1, -4,-2]. Calculate the following: a) axb b) a b × c c)…

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Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

A: Step:1 We have to find the first and second derivatives of 3xy+72=6y Here we have to find the…

Q: Find y" in terms of x and y. You must use implicit differentiation for this problem. 1- xy = x – Y

A: Given : 1-xy = x-y

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 4xy – 4y“, Po(-2, - 8), A…

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Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: Find the derivative of the function. Do not find the product before finding the derivative. y = (8x²…

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