Question 2. (a) Assuming that the equation determines a differentiable function f such that y f(x), find y'. If 3xy- 4y? = 8 (b) Assume that all variables are the function of t. dy If 5x + 3y2 – 2y = 7 and 4 when x = 3 and y = 2. dt Solution.

Q: 2. Differentiate the following. Simplify your derivatives as much as possible. f(x)= (3x² – 4) |b)…

A: As per our company guidelines we can answer only three subpart question at a time so if you nee more…

Q: Find the derivative of the function at the given point in the direction of A. f(xy) = 5x2 + 4y, (-…

A: We have to find the derivative of the function at the given point in the direction of A.…

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A: The derivative of the given function can be found with the help of the one-time differentiation with…

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A: We have to find the general solution of the given problem.

Q: IV. Implicit differentiation 1. xy + y? = 1, find y? 2. x²y – xy? + x² + y² = 0, find y' 3. x? – xy…

A: Given: 1.xy+y2=1 , 2. x2y-xy2+x2+y2=0 3. x2-xy+y2=3 4. x3y+xy2=3 and x=1

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Q: B3. (a) Let y be a function of x, defined implicitly by the equation x?y + y3 + x = 0. Find the…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Hey! Done below. Please ask for further clarifications:)Explanation:1.)     f(x)=cos2x=>…

Q: Find the derivative of y with respect to x. y = cos1 (5x2 + 4) 10x + (5x2 + 4)2 -10x Vi- (5x2 + 4)?…

A: The given function is  y= cos-1(5x2+4)  We have to find the derivative of this function w.r.t. x

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Q: Find y as a function of if y(0) = 19, y'(0) = 19, y"(0) = 4, y"(0) = 0. y(x) = y(4) 4y" + 4y = 0,

A: y(4)−4y′′′+4y′′=0y(0)=19,y′(0)=19,y′′(0)=4,y′′′(0)=0

Q: 3. Find the second derivative of f(x) = 2sin²(3x) а. 36сos? (3x) — 36sin? (3x) b. 36сos (3x) —…

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Q: 17. Determine the derivative of each function. a) y=2(3x-x-1² b) g(x)= /2x + 5

A: We have to find derivative As per guideline we have to solve only three

Q: Suppose f, g have the following values: f(3) = e5 and g(3) = 2. ƒ'(3) 10 and g' (3) = = 8. 4 Let y¹…

A: To find the value of y' at (3,-3).

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Q: 1. Consider the function f(r, y) = 70 – 4.x2 – y2. (a) Find the tangent plane to f(x, y) at (-3,…

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A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…

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A: We find y as a function of t 25y'' +90y'+162y=0,y(3)= 2, y'(3)=2

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Q: The equation of a curve is y =x'+ar + bx, where a and b are constants. (1) In the case where the…

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