dy If dx 3 sin 5x find the equation connecting y and x in the form y = f(x) if y = 5, for r =5- Enter your answer as a function of x in the box below.

Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…

A: The given function,    -28x4+10x28y+y4=8

Q: te ,t<- 3 b) Let y(t)= find L(y(t)) + sint cost 3

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Q: Q2) Find dy /dx for the following function: y? = (csc x)sinx

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Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: (a) Find dy – Ay, if y = 6 – 7x (b) Find the derivative of f(x) = 2(cos4x - sin4x) Solution.

A: Solved below

Q: Solving for the dy/dx of the function below lea 5 y = 1- sin?

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Q: dy for the implicit function x' +xy - y² = -1 dx at the point (1, 2). Find

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Q: r2x²+2x+1 Find the equation of the tangent line to the graph of F(x) = evy dy at x = 0. J sech x

A: We have to find the equation of the tangent line to the graph of F(x)=∫sechx2x2+2x+1eydy at x = 0.

Q: dy of the function da Find the derivative x² In 4y = y sin 4x + e2". Answer:

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Q: Use a computer algebra system to plot y2 = x 3 - 4x for x and y between -4 and 4. Show that if dx /…

A: y2=x3-4x

Q: (* -) dz if y = Find the particular solution for dy = when x = 0. | x +1 Answer and Work Explanation…

A: We have to find the particular solution of the given initial value problem dy=x2-1x+1dx with the…

Q: #1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6

A: First calculate 1st derivative of f(x) and g(t). Apply  d/dx of (u/v) in problem a. and chain rule…

Q: d'y dx2 -sec³t -csc³t Find a. O b. O c. sec³t Od. csc³t Oe. in terms of t of x = sint, y = cost none…

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Q: dy for the function e²* = /2 sin (x + y)at the point 0, dx 6. Find 4

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Q: dy 4 Given the equation x + 4xy + y* = 8, evaluate Assume that the equation implicitly defines y as…

A: Given,            Fx,y=x2+4xy+y4-8=0

Q: Use Definition 3.2.3 to find f'(x) and then find the equation of the tangent oʻI+*p = o y = Vx+1, a…

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Q: dy Given the equation 4x° + x²y - y° = 0, evaluate Assume that the equation implicitly defines y as…

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Q: = 2x + 13 – 15e". Then the equation of the tangent line to the graph of f(x) at the point (0, – 2)…

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Q: Given the equation x+xy-3y = 0, evaluate Assume that the equation implicitly defines y as a…

A: The equation is given by x3+x2y-3y3 = 0                                       .......(1) To evaluate…

Q: -Ive the derivative dy for the function: x dx = e'sint ; y = ecost %3D

A: Given: x=etsinty=e-tcost We have to find dydx.

Q: d²y Q1/ By using implicit differentiation, find dy and dx of the following function: dx2 y =…

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Q: Q:: Find for the following functions: - dx 1- y = tan/2\2x+ 7 (x²+x)(x²-x+1) 2- y =

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Q: Consider the equation (y² – 2x)dx + (2xy + 1)dy = 0. Let the function F(x, y) satişfy ƏF = y? – 2x…

A: Given differential equation is, y2-2xdx+2xy+1dy=0 which satisfy ∂F∂x=y2-2x   , ∂F∂y=2xy+1. To solve…

Q: dy da Find the derivative of the function x° In 3y = y sin 3x + e5 x %3D Answer:

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Q: ay Q.2 Find for the given function. dx - (x² + 1)cotx y = 3 – cosx CSCX

A: Given:          y = x2+1cotx3-cosxcscx

Q: et f(x)=2x+15−9e^x , then the equation of the tangent line to the graph of f(x) at the point (0,6)…

A: Given function, f(x)=2x+15−9ex

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: dy for the implicit function x +y -2y = 3. Then find the equation of the tangent line at the Find dx…

A: use differentiation for finding the slope and then use it for finding the equation of tangent line.

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: dy For the equation xy + 3x + 4y = -2, calculate the derivative at the point (1, -1). dx

A: The equation xy+3x+4=-2. We have to calculate the derivative dydx at the point (1,-1).

Q: dw dw Find and using implicit differentiation. dx' dy dz Leave your answers in terms of x, y, z, and…

A: We have to find

Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

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Q: use implicit differentiation to find dy/dx and thend2y/dx2. Write the solutions in terms of x and y…

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Q: dy by implicit differentiation, given that xy – 8y° =-9. Your answer could involve both z and y.…

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Q: yx  = xy + xlny      for the function given as dy/dx Find its derivative. (x,y) = (1,e2)    What is…

A: Solution:

Q: dy of the following implicit functions. dx Find 1. 2y3 – 3xy? + 4x?y – 3x³ = 72

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Q: dw dw Find and using implicit differentiation. dz Leave your answers in terms of x, y, z, and w.…

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Q: dy Find dx for implicit function x? sin y + 3y3 = e5 + 5

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Q: dy -for the given function: y = dx sin (2") For the following exercise, find

A: According to the chain rule of differentiation:

Q: d²y 2. Find the second derivative, dx2 a. x = t2 + 1 and y = t3 t2 + 2 and y = sin(t + 1) b. x = | 2

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Q: Hello there, can I please get these questions answered? Thank you!

A: Given- dydx=xy+4x+2y+8 To find- The solution of above differential equation.

Q: dy Given the equation y In (x* +y +5) = 7, evaluate Assume that the equation implicitly defines y as…

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Q: Use the method of Green's function to solve y" + y = sint, y(0) = 1, y'(0) = -1.

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Q: use implicit differentiation to find dy/dx and thend2y/dx2. Write the solutions in terms of x and y…

A: Differentiating with respect to x, we get

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

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Q: Q1- i) Show that cosh?x – sinh?x = 1 ii) Find the equation for the tangent line to the curve y = Vx…

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Q: dy b. 1The derivative for the function dx y = cot¯ 3– r2

A: We can solve the given problem using chain rule of derivative.

Q: use implicit differentiation to find dy/dx and thend2y/dx2. Write the solutions in terms of x and y…

A: Given:

Q: 3 dK Use the definition of the derivative to find for the function K(z) %3D dz 6z + 1"

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Q: dy for the function y = e` dx tan 8x Find the derivative

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