Find f(x) if y = f(x) satisfies dy 54yr dx and the y-intercept of the curve y = f(x) is 2. f(x) :

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

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A: Use Product rule of derivative and find the derivative of x with respect to "t".

Q: Can you help me with this problem step by step?

A: The given equation,

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 2−x−2=2y 2−2y

A: We have to find derivative of curve equation (implicitly).Curve equation is given by:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y2 −3x3y4 =1

A: We have to find  dy/dx of curve equation  (implicitly).Curve equation is given by:

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A:

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Q: Find f(x) if y = f(x) satisfies dy 144yæ17 dx and the y-intercept of the curve y = f(x) is 3. f(x)

A: The explanation of answer as follows

Q: ²+ re" = 2y + e² %3D

A:

Q: Find dy/dx by implicit differentiation. ey = x + Y dy/dx

A:

Q: Find the value(s) of dy/dx  at y=1 given that x2y + y2 = 5.

A:

Q: Use the attached equation to find  dy/dx for this: 5tan−1(x2y) = x + xy2

A: Given, 5tan−1(x2y) = x + xy2

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A:

Q: Find dy dx2 by implicit differentiation. x y + eY d2y %3D dx2

A: Note: As per company's guidelines, we should solve only one question. So, kindly post the next…

Q: For x²y = y³x + 5y + x, find dy/dx by implicit differentiation.

A:

Q: Find dy/dx in terms of t if x = te', y = 4t + 4e* dy/dx =

A:

Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y…

A: follow the procedure given below.

Q: Find dy/dx implicitly and find the largest interval of the form -a <y <a or 0 < y <a such that y is…

A:

Q: Find dy/dx for the following functions:- (2) y = v sinh Vtan x (4) y=2,u = 3x²-2 u²+1

A:

Q: Find dy/dx for the following equation with implicit differientiation.   x2 + xy4 - 3y=35

A: Solution is given below..

Q: Find dy/dx: a. y = cos t dt 0,

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the Product Rule to calculate the derivative.

A: y=t-8t-1et+t2

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A: Given:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below

A: Given,

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+x5y4=−1

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 3− x4 y2 =-2

A: We have to find derivative of curve (implicitly).Curve equation is given by:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x4-3xy2=2

A: We have to find dy/dx of curve equation .Curve equation is given by:

Q: Obtain dy from the following function y= e v*

A:

Q: For F = xy+xy+1 0, calculate: dy_ dx ây

A: Given,          F=x2y+xy+1=0

Q: Compute xe" dx + x?y dy along the curve x 3t, y = t2, 0 < t < 1.

A:

Q: Find the value(s) of dy at y=1 given that x²y+y² =5. dx only only D

A:

Q: Find the derivative, dy/dx of the following using the chain rule: a) y= . . x+1 d) y= 3x+1" f)…

A:

Q: Find the dy/dx by implicit differentiation. yvx +1= 4x - 2y 2(x+1) x+1 O Xxww wwxx 2y 2(x+1) x+1 O…

A: Given:  yx+1=4x To Find: To find dydx by using implicit differentiation.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x 4− 5y4 =11

A: We have to find dy/dx of curve equation (implicitly).Curve equation is given by:

Q: ind the derivative dy/dx of the function x=arctanet, y=1+e2t at t=0.

A:

Q: Find the value of df dt for the following function : F (x, y) = xy2 X= cost, y= sin t.

A: The derivative of the function df/dt is solved below.

Q: dy Find at the origin on the curve: - dx x² + y + x + 3y 0

A:

Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

A: use differentiation for finding the equation of tangent line.

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A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A: The given equation is,

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given data is : dxdt=5et-3 , x0=4 To find the antiderivative

Q: Let y=f(x), Given dy/dx=(3x^2 -1)/(2y) with initial condition f(1)=4. Find f(-2)

A: Given y=f(x), dydx=3x2-12y⇒y dy=12(3x2-1)dx⇒∫ y dy=12∫(3x2-1)dx+C⇒y22=123x33-x+C⇒y=x3-x+C Now, to…

Q: Given the equation y In (x+y" +9) = 5, evaluate dy Assume that the equation implicitly defines y as…

A: The given equation is  y.ln(x3 + y4 +9) = 5 To find dy/dx

Q: Find dy/dx for the function y = (1 − x) (1 + x) (1 + x^2) (1 + x^4)

A: Given function is y=1-x1+x1+x21+x4. We know that a+ba-b=a2-b2 Given function can be re-written as:…