Let x2 + y? = 82y. First find OY by implicit differentiation, simplifying the answer where reasonable. Then find an equation of the line L tangent to the graph of the given equation at the point (9, 1). dx ay = dx Ax B- Cy where A = 1 B = 41 C = -1 X (Simplify the expression before entering A, B, and C.) Equation of L: 9x/4 x

Q: 5a?y – y³ = 6x² – 2 a) Find dy/dx by implicit differentiation. b) Find the slope of the tangent line…

A: Given equation is 5x2y−y3=6x2−2 (a) Differentiate 5x2y−y3=6x2−2 with respect to x…

Q: cos ( bVx3 f(x) = a ln sin(cx²)

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Q: 1. Find the derivative of each function below. ex² - 3x +1 y = In(2e¬t sin t) A y =

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Q: Given x° + y³ = 9xy, y is a function of x. Show that the point (2,4) lies on the curve above curve x…

A: We have to show that the point 2, 4 lies on the curve and also have to find dydx by implicit…

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: GIVEN dy /dx.(x + 1)2 (y - 1)2 = 1 We need to find the  differentiation

Q: dy and dr² for the function r² = (r+y)³ at (0, 1). Use implicit differentiation to find dr

A: the given implicit function is: x2=x+y3 now we have to find the value of dydx and d2ydx2 at the…

Q: 2. Given x³+ y3 = 6xy dy? a. Use Implicit differentiation to find ? dx b. Find the equation of the…

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Q: Use implicit differentiation to calculate dy/dx for the equation x2y6 = 1.

A: Given equation                         x2y6 = 1

Q: Use implicit differentiation to find the specified derivative at the given point. dy Find at the…

A: We will use direct method of differentiation.

Q: Use implicit differentiation in finding the derivatives of y with respect to x. What is the…

A: Given equation, x2 - 6xy + 3y2 =0

Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

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Q: dy for the equation Using implicit differentiation, x4 + yª = 10 is

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Q: Consider In y = 2y3 – a? + 14 - a) Find dy using implicit differentiation. de b) Find the equation…

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Q: Consider the equation x^(2)e^(y) +3y=1. a.) Find dy/dx by implicit differentiation. b.) Find the…

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Q: use implicit differentiation to find y’ at (-2,0) for 2x^4+e^2xy=33

A: follow next step

Q: Use the implicit differentiation to find dy/dx. Then find the slope of the curve at the given point.…

A: By using the implicit differentiation to find dydx. Then to find the slope of the curve at the given…

Q: 1. please help, they canceled class due to virus can't contact teacher.

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Q: Suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: Suppose that x and y are related by thegiven equationx5y+y5x=9we have to find dydx

Q: Let y be defined implicitly by the equation 8a? – 10y = 7 Use implicit differentiation to find the…

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Q: Given the equation z + 10z°y – 8y² + z* = 4 az Use implicit differentiation to find dz

A:

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: Given equation is: xy+25=8 ......................... (1) We have to find dydx using implicit…

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A:

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: Consider y3-2x2=1+sin(xy)   a) Use implicit differentiation to find dy/dx.   b) Find an equation…

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Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: Given: x2+4xy+4y=1 To Find: dydx by using implicit differentiation

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: Use the method of implicit differentiation to solve the equation for dy/dx: x^3y^2+1 = 2xy

A:

Q: 9. For the following equation:  3xy + 2x - 5y + 4 = 0 at (1,3)    a. Find dy/dx using implicit…

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Q: 3. Use the Leibnitz formula for differentiation to find (i) for the function y=sin" xin) (ii) for…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Given the equation 5y² – x³ = 3, find d²y by implicit differentiation. dr? %3D

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Q: Find the derivative of the given function. 402 y%3D cos

A: Given,          The function is y=cose-4θ2.

Q: Determine the following using the equation 2xy3- 4x3/2 +2 = 0 a) Use implicit differentiation to…

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Q: dy in terms of both r and y. dz Using implicit differentiation, solve for

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Q: dy Find using implicit differentiation, for the equation a + y = 10 dx

A:

Q: 2. Given x³+ y = 6xy %3D dy. a. Use Implicit differentiation to find ? dx b. Find the equation of…

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Q: dy Find using implicit differentiation, for the equation a + y = 7 is dr

A: We can find the correct option as below.

Q: 1. find dy/dx of each equation using implicit differentiation. a. x2 - y2 = 9 b. 3x2 - y3 -3xy = 0

A: As we know that; The Power law; ddxxn=nxn-1 The Product rule; f·g'=f'·g+f·g'   Given: (a). x2-y2=9

Q: 10y. First find dy dx by implicit differentiation, simplifying the answer where reasonable. Then…

A: The solution is as shown below

Q: Find by implicit differentiation, and evaluate the derivate at the given point. dx 4. x - y? = 0 5.…

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Q: Suppose that x and y are related by the given equation and use implicit differentiation to determine…

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Q: Use implicit differentiation to find the specified derivative at the given point. dy Find dx at the…

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Q: dy using implicit differentiation, for the equation a + y 7 is. Find da

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Q: dy 6) Use implicit differentiation to find dz yebr + 7y – 3 = 0

A: Given, ye5x + 7y *3 =0

Q: dy 1. Use implicit differentiation to find for the equation x +y' = y csc x. dx %3D

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Q: Suppose that x and y are related by the given equation and use implicit differentiation to determine…

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Q: a) Find dx using implicit differentiation: x + y² = 2xy³ + 1 b) Find the equation of the tangent…

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Q: Find by implicit differentiation, given that x²y - 2y4 = -4. Your answer could involve both x and y.…

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Q: Let y be defined implicitly by the equation -4x2 + 7y- 2x-3y 44. dy Use implicit differentiation to…

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Q: ed at (2,1) is Assuming that y is defined implicitly by the equation ²-2-58, the derivative

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. xy = 24,…

A: Product Rule: ddxu.v = dudx.v+u.dvdx w.r.t means with respect to

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.