Both xand y denote functions of t that are related by the given equation. Use this equation and the given derivative information to fin the specified derivative. Equation: 21x + 22y = 1 dy Given that = 2, findwhen (x, y) = dx dt dt 7V2 11/2, dy dt

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x2+3x−5=2y2 −2y

A: We have to find derivative (implicitly ) with respect to x .Curve equation is given by:

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: If z = (x +y) eª and ¤ 3t and y = 1 – ť², find the following derivative using the chain rule. Enter…

A: See the attachment

Q: Given x° + xy – 6x = 5 : dy (a) Find by differentiating implicitly. Do not substitute for y. dx dy…

A: As per given question  We have to determine derivative of given equation

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

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

A: NOTE: Refresh your page if you can't see any equations. . take integration

Q: dy by differentiating implicitly. Do not subs da (a) Find dy dx (b) Solve the equation for y as a…

A: We will find the derivative.

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

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Q: Given x³ + xY 6x = 1 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

A: Let's find.

Q: Evaluate the derivative of the function r(t)=⟨lnt,3t+1,t2⟩ at t=1.

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Q: Given: The function y = x²e7. Differentiate equation (1) with respect to x on both sides. - 4(re) dy…

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Q: Differentiate implicitly to find dx exty = 9x+8y+7 Evaluate the derivative of the each side of the…

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Q: dy For the function dt d y is 3 cos t, the third %3D order derivative dt3 O 3 cos t

A: Given: dydt=3cost To find the third order derivative d3ydt3. Solution: We have, dydt=3cost…

Q: Use the Product Rule to compute the derivative: d. Find dt (e + 1)(t + 9)) at t = 13

A: Topic :- Derivative

Q: Given x° + xy – 6x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy…

A: We can solve all the parts as below

Q: Use the Quotient Rule to compute the following: t2 +1 d at t = 2 dt t2 The derivative is:

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Q: Use the Product Rule to compute the derivative: Find d/dt ((t^2+1)(t+9)) at t=5

A: To find  ddt[t2+1t+9]    at t = 5 Using Product Rule of Derivatives

Q: Both xand y denote functions of t that are related by the given equation. Use this equation and the…

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Q: Given x + xy – 2x = 4 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

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Q: Apply the 1t derivative property to : 1) f(t) = e-2tsin5t 2) f(t) = = cost sint 3) f(t) = e²tsin2t…

A: Solution

Q: find the indicated derivatives. dv/dt if v = t - 1/t

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Q: Include the plots of the solutions for y(x) and its derivative! d²y 34 + 2y = 0, initial condition:…

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

A: To find the antiderivative of the below derivative

Q: Use the Product Rule to calculate the derivative.

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

Q: 2. In each case, find the derivative d (a) z = x* + y and r(t) = In (t) and y(t) = e24, (b) z = 5xy…

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

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Q: Use the Quotient Rule to compute the following: d ( t2 +1 at t = -4 %3D dt \ t2 – 1 The derivative…

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Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. y = x/x

A: To find the derivative of a function

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

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Q: find the values of the derivatives dw/dz at z=4  if w=z+sqrt(z)

A: Write w using an exponent Then use the power rule to find the derivative of w with respect to z.

Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. у %3D 2. f…

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Q: Q4) Find the derivatives of the following functions (answer two only): secx a) y = f,c* (t -) dt %3D…

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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: H.W: Use the chain rule to find the derivative of w= x² + y² with respect to t dw dt with x = cost +…

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Q: Find the indicated derivative. dx y = 5F+ 9. x=4 whent =1, dy = 5; = ? dt dt Please round the answer…

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Q: Given x³ + xy - 4x = 4: dy (a) Find by differentiating implicitly. Do not substitute for y. dx dy dx…

A: The given expression is x3+xy-4x=4. The main objective is to calculate the value of dydx by…

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: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: Given x + xy – 2x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

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Q: The third order derivative of the function y = In(1 – x) - at x = 0 is et O A. Undefined OB. C. 4 D.…

A: As per our guideline we supposed to answer only first question , kindly re post other as next…

Q: Given x = 2 lnt and y = 1+t, find the equation of the tangent line when t = 2. %3D O y=-4x-8ln(2)-5…

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Q: Find the derivative of y with respect to t. 1 5 0<t< 8 y = sec 815 dy dt II

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Q: Find the derivative, dy/dx of the following using the chain rule: a) y = 3. 'x+1 b) y = ()³ 5x+1 %3D…

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: Given x+ xy - 6x 3: dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx dy…

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Q: 6 – Find the derivatives of the following functions a) ((1 + 2t)i + (3 + 3t)j* + (e²4)k* dt d b)…

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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: z=xy^2 and x=e−t and y=sin(t), find the following derivative using the chain rule. Enter your answer…

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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 the antiderivative of the given derivative. ds = 14t(5t2 – 1)3 dt S=

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Q: dy Differentiate implicitly to find dx e**y = 8x + 3y +8 Evaluate the derivative of the each side of…

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