Situation 1: Define the total differentiation of a function of two variables. Situation 2: Describe the change in accuracy of dz as an approximation to Az, as Ax and Ay increase.

Q: U₁₂ 4; 6; -3 3 2 u = x 2² - sin (x²-sy) + / ln (x²452) 2

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Q: f(x, y) = ln(-6x – 4y), (5,6), A=6i + 8j 14 17 A) 135 135 B) C)/17 D) 11 135

A: Duf=∇f·uu

Q: 3 2 e. 12 = y³ + x² •

A: Consider the function

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

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Q: Which answer represents the top graph derivative?

A: We are given the graph of the function.When the function is increasing, the derivative of the…

Q: Find the derivative of each function at the specified value of x.

A: Given: k(x)=tan(x)cot(x), x=π4

Q: 28. F(v) V v+2

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Q: Find the derivative of the given functions: 1. y = 6+ 4vx csc(x)

A: If u and v are functions of x, then

Q: 35. y = w² sin w+ 2w cos w 2 sin w 36. y = -x³ cos x + 3x² sin x + 6x cos x − 6 sin x 37. y = 38. y…

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Q: Find a function whose square plus the square of its derivative is 1.

A: To Find a function whose square plus the square of its derivative is 1.

Q: Explain the relationship between the slope and the derivative of ƒ(x) at x = a.

A: Given function is  fx at x=a

Q: 6. 1+x* f (x) = 1 + x3

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Q: The derivative of the function is equal to

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Q: Do you notice anything surprising? Cân you make a conjecture? (c) Now use the derivative and the…

A: Statement : A small change in your average gas mileage (in miles/gallon) change the number of…