Fx to find dy Assuming - 7x - 9y2 - 2xy = 0 defines y as a differentiable function of x, use the theorem dx at the point (-1,1). dy dx (-1,1)

Q: dy tanx (4) Find if y = (sec x)" dx %3D

A: Here, we have the given function in the form of a variable raised to the power variable. Therefore,…

Q: sec" y dy- (f) tan y

A: Topic = Integration

Q: dy %3D =f'(x) for the fol dx 3) Find the derivative sinx y = (4x5 + 2x² – 6)sinx , y = %3D 4+Cosx

A: Solution is given below:

Q: dy Find using implicit differentiation. dx 2x = 5y +7y 3 %3D

A: Given:  2x3=5y2+7y Now differentating on both sides with respect to x        d2x3dx=d5y2+7ydx…

Q: dy Using the parametric differentiation find if dx x = 7et, y = 4el4t. 8.14 e7t O 1.71 e7t O 1.14…

A: 3rd option is true Ans : 1.14e^7t

Q: find dy/dx as a function of x. y = sec (tan x) %3D

A: Given that  y=sec(tan x)2

Q: y = sin²(2x) + %3D et dy Find Y dx Inx

A: We have to find solution

Q: Differentiate the function. y -Vetoo y%3D dy dx

A: Given :   y = 7√( ex + 6 )

Q: dy =2xy with y(2) = 1. dx Find a function y = f(x) that satisfies

A: To find a function y=f(x) that satisfies dy/dx=2xy with y(2)=1

Q: Let f(x,y) be a differentiable function satisfying the equation = xy. %3D ду af and After the change…

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Q: Use Implicit Differentiation to find dy/dx where 2xy + x = 1 1-2y a. y' = 2x -3-2y b. y': 2x -1-2y O…

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Q: Differentiate the function. y = (3x-4) (2-x*)° dy %3D dx

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Q: Find the maximum rate of change off at the given point and the direction in which it occurs. f(x, y,…

A: Let's find.

Q: dy using implicit differentiation dx 1. Find а. Зху + 4x2 + 5y? %3D 5 b. y + 2x³y* + 2y² = 3x = 3y2…

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Q: Find directional derivative for f(x,y) = y +, Xo = 4, yo = 5, nx = 1, ny = 0. df ðf af -Nx + -Ny=|…

A: We will evaluate the required values.

Q: dy when x dx If f is a differentiable function and y = sin (f (x²)) , what is = 3?

A: Given F is differentiable functionand Y=sinFx2we find dydx when x=3

Q: . cosx dy + y(sin x – 1) dx = 0; when x = , y= -2 %3D

A: This is linear differential equation. We will first convert this equation into simplified form and…

Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: Use implicit differentiation to find dy/dx. ху +x%3D2 1+x OA. y 1+X В. y 1+y OC. 1+y O D.

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Q: Let z = Then y5 dz %3D dy y10 (simplify the derivative) %3D * symbolic formatting help

A: According to the quotient rule of differentiation:

Q: Find dy/dx by implicit differentiation. x3 + y3 + 5y - 6 = 0 %3D dy/dx = %3D

A: given equation is -  x3+y3+5y-6=0

Q: Use differentiation rules to find y' = dy/dx.

A: We have, y = xcos(x)

Q: Use implicit differentiation to find dy/dx and d2y/dx2 4 sqaureroot y=x-5y

A: Given, function is

Q: Linearize given function at point and fin an error upper bound xy + y cos (x – 1) at Po (1, 2), take…

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Q: Use implicit differentiation to find dy/dx. xy + x+y=x?y2 O 2xy2 + y 2x2y - x O 2xy2 – y 2x2y + x O…

A: Given query is to find the derivative of the given expression.

Q: dy for xy+3x = 2cos(x+ y)-e" by using implicit differentiation. dx b) Find %3D

A: Given: xy+3x2=2cosx+y-e3y

Q: Find dy/dx for the curve x^2y^3 - y^2= x+y at the point (2,1)

A:

Q: of of For the function f(x,y) = 4x* - 3y' - 8, find and dx of %3D dx of

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Q: (c) curve y = 5-x", line y=x+3 (d) y= sinx, y=cosx, x= 7 /4, x=7/2

A: Double integers

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

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Q: Evaluate ſxy dx+(x+y)dy along the curve y=x² from (−1,1) to (2,4).

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Q: Find dy/dx in terms of x and y if arcsin (x2y)=xy2

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Q: dy Find by implicit differentiation. dx x° – xy? + y° = 1 dy %3D dx II

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Q: dy Find by implicit differentiation. dx x2 = y² + 2 %3D x + y

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Q: Find the differential of f(x, y) = 3+y² at the point (2, 3). df: ((3x^2)dx+(2y)dy)/(2sqrt(x^3+y^2))…

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Q: Fx to find dy Assuming 8x - 9y - xy = 0 defines y as a differentiable function of x, use the theorem…

A:

Q: F(x,y) = In x+y of the function at the point %3D P( 3,4) ond V= [ = -7+ 2 find the derivative %3D in…

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Q: use implicit differentiation to find dy/dx and then d²y/dx². Write the solutions in terms of x and y…

A: Differentiate above equation with respect to x

Q: cos y f(x, у, z) -D xz2 XZ

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Q: : @ use suitable linearization to find the approximate value for the Function at point p. f (xy) =…

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Q: use implicit differentation to find dy/dx and d2y/dx2 at the point (1,0) for the given function…

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Q: dy Find dx if y = V5 – x2 by using definition formula of derivative (l ié ina plaäiul).

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Q: Suppose F(x, y) = 0 and y is a differentiable function of x. Explain how to find dy/dx.

A: It is given that F(x, y) = 0 and y is a differentiable function of x . For the function F(x, y) = 0…

Q: f(x,y) = x2-y2 What's the slope of the two-dimensional line that goes through (5,4) and is parallel…

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Q: dy Find where y = sec-' (V3x³). dx

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Q: Using Separation Variable. 1.) dy/dx = (2-y)^2 / 2(1+x)^1/2

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (4, -3)

A: To solve the given line integral.

Q: A) Use the chain rule to find dt where wxty,x = sint + cost y cost- sint.

A: We will use chain rule to find the answer :)