Solve using implicit differentiation.    y cos x = x2 - y2

Q: Iim tan³x X10 1- Cos2x

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Q: Solve using implicit differentiation.  e^3x/ e^2y = sin y

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Q: (sinsex + cos ty) = 58 coS xy) = 58

A: Given that: sin(πx)+cos(πy)7=58 Here, there is x and y variable, thus we need to perform implicit…

Q: C.)+x) = sin2x -tonzx

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Q: S cos³ x sinxdx

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Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: Find y" by implicit differentiation. x² + 6y2 = 6 -2 12 y" =

A: Topic -double derivative using implicit differentiation

Q: x – sin 2x -dx x + cos2x

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Q: Find the first derivative x2y + y2-2xy =5                   Use implicit differentiation

A: The given equation is x2y+y2-2xy=5. Assume y is a function of x. By implicit differentiation, find…

Q: eliminate the arbitrary constant y = sin ax

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Q: 23

A: Given an equation

Q: culate the derivative of: (8x) COS f(x) = sin-(8a)

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Q: First compute y' and y" by implicit differentiation. Then solve the given equation for y, and…

A: xy=y-2

Q: Find y" by implicit differentiation sin y + cos x = 1

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Q: The derivatives of sin- 1 x and cos- 1 x are negatives of each other.

A: From the question it's not clear, what do you want us to do with it. I assume that you want to know…

Q: 2- Solve the equation for x : Cosh x = Sinh x +1/2.

A: We need to find out the value of x. The given equation is Cosh x=Sinh x+12 Now,  Cosh x=ex+e-x2  and…

Q: 4x3 ソ= cos sin e2x

A: We have to simplify the derivative

Q: Find y' by implicit differentiation. cos(x) + √y = 2 y' =

A: Explanation and solution is given below....

Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: Evaluate the integral.

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Q: Find y" by implicit differentiation x2 5y2 5 + = 2 X у"-

A: Take d/dx on both sides and distribute it on the left side. Derivative of constant =0

Q: Find y" by implicit differentiation.   x4 + y4 =a4

A: Given function is Differentiating both sides  with respect to x, we get

Q: .Find using implicit differentiation given the equation: y°-2xy²+3e® da 2

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Q: 3. +6 2.

A: The given equation is 3x2y+6y2x=-2.

Q: 5. Use implicit differentiation to find y'. a) хеУ 3 х — у

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: 4. (e) sinx-cos" xr sinx-

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Solve sin 2x = - sin x for the interval x E [0, 31].

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Q: Find each derivative : Dx[cos(3x)]=-sin(3x).Dx(3x)=-3 sin 3x

A: Find each derivative : Dx[cos(3x)]=-sin(3x).Dx(3x)=-3 sin 3x

Q: Solve the second derivative ду? for f(x) = tan-1

A: the given function f(x)=tan-1x2y2to find ∂2f∂y2

Q: Differentiate the function y = e - 4x  sin   5x

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Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: Find cos x + sin 2x dx 19. sin x

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Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: Find y" by implicit differentiation.   x3 + y3 =1

A: We find y' first

Q: Find y' and y" by implicit differentiation. cos(y) + sin(x) = 1

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Q: y = In[cos? (3x)]

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Q: 8) Use implicit differentiation to find y', given cos(x+ y) = y² sin x

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Q: 6x = 4

A: Simple differentiation problem...

Q: Solve for the derivative of the Inverse Trigonometric Differentiation.  1.  g(x) = 3 tan -1 (3x)…

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Q: 14. y = a' + cos'r

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Q: e 2x sin(2x + 5y)

A: e2x=sin2x+5y

Q: ch Suppose that x and y are related by the equation 5x -y = 3 and use implicit differentiation to…

A: Find the derivative for the given equation

Q: 4. Use three strategies to find in terms of x and y. dx 3x? Given: Strategy 1: Use implicit…

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Q: b- S sin5x.cos²x.dx

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Q: 6x 2) = 4 y7

A: 2) Given- 6xy7=4 To find- The derivative of the above expression using implict differentiation.

Q: Jse implicit differentiation to solve for dx a. x? - y? = 1 b. ху—х +2у В

A: Implicit differentiation: using implicit differentiation you can find the derivative of the function…