Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) = (5,0)

Q: dy Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y³. dx

A: Given that: 3x2 +2xy = -4y3. Find dy/dx. We know that derivative of xn is nxn-1.   Here i attached…

Q: Find the derivative of the function. 1 + x 1 - x y = arctan y' =

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Q: Explain the derivatives and integration.

A: Solution: Derivatives: Definition of derivatives is , the rate of change of a quantity with respect…

Q: ) y = In³ )) (tanh²(scc '(x²)

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Q: Find 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

Q: Solve for the derivative of the Hyperbolic Differentiation. 1. y = ex cos h 2x 2. y = ln sin h x…

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Q: Calculate the derivative using implicit differentiation: dw x'w + wt + wz² + 4yz = C dz ||

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Q: Find the derivative of y=x^(7sinx). (x>0).

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Q: Find the derivative of y with respect to x. y = sec -1 (3x2 + 1), X>0

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Q: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: FInd the derivative using implicit differentiation rules x2+y2=x+y

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Q: Find the derivative of 3 In xy + sin y = x².

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Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

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Q: (b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

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Q: Find the derivative of the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

Q: calculate the derivative with respect to x. ln x + ln y = x − y

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Q: Calculate the second derivative y : Vx - /y = 1

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Q: Use central difference approximations to estimate the first and second derivatives of y = e* at x =…

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Q: Compute the derivative using derivative rules.

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Q: Find  y ″  by implicit differentiation. 4x3 − 5y3 = 8

A: First we find y' by differentiating  both sides of the given equation. Then find y"  by using the…

Q: Find the derivative of the function. y = 3 tan(x - V1 + x 1 + x2 y' = ||

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Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: Compute the derivative using derivative rules. y = cos(te- 2t)

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Q: Derivative of y with respect to x

A: taking logrithum both sides and solve the question.

Q: Find the derivative of y = x. %3D

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Q: Calculate the derivative using implicit differentiation: x³w + w® + wz² + 4yz = 0 dz az

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Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve 2(x + y = 25(x…

A: Explanation of the answer is as follows

Q: Find the Derivative of the hyperbolic function (3.11): y=sech(x)*(1+ln(sech x))

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Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: Find the derivative of the function. y = arctan 1 + x 1 - X y' =

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Q: Find the derivative of y: 1- y = (cos 0)V2 Cos O 2- y = 7sec ln 7 3- y = 2sin 3t

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Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

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Q: Calculate the derivative using implicit differentiation: dw x®w+w² + wz² + 2yz = 0 dz' dw dz II

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Q: Calculate the derivative of y = e1+sinx.

A: Given, y = e1+sinx.

Q: Find the derivative of the function. using chain rule y = sin(sin(sin x))

A: Given: y=sinsinsinx

Q: How do you use Implicit differentiation find x^2+2xy−y^2+x=2 and to find an equation of the tangent…

A: The given equation is, x2+2xy-y2+x=2. Differentiate the given function with respect to x.…

Q: Find the derivative of the function f(x y) = tan-1Y at the point (5, -5) in the direction in which…

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Q: Find the derivative of the function. f(x) = In(sinh(x)) %3D f '(x) = %3D

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Q: Calculate the derivative using implicit differentiation: dw x'w + w° + wz² + 3yz = 0 dz' dw dz II

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Q: Find the derivative of the function. y = sin2(x2 + 2) y' = %3D

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Q: find implicit derivative dy/dx of x2sin2(y)+2x2=y

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Q: Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y…

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Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3…

A: Second derivative of5x2+1 is  d2dx25x2+1

Q: Find the derivative of x + y = 10 using implicit differentiation. %3D

A: We have to find the derivative of x2+y2=10 using implicit differentiation.

Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: Determine the derivative of the ff. functions. 5. y = 3 tan 3x, 2nd derivative 6. y = 6 csc x, 2nd…

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