2 range f(xy): = Vx-I ln(y² – x)

Q: Find d2y/dx2 by implicit differentiation x3 + y3 = 1

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

A: The logarithmic expression

Q: find dy/do by implicit differentiation. x^3+y^3=12xy-8

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Q: Integrate (x)(e^-x)dx within the limits of (1, infinity)

A: Givne that  Integrate (x)(e^-x)dx   limits of (1, infinity)

Q: If (x, y) moves from (x0, y0) to a point (x0 + dx, y0 + dy) nearby, how can you estimate the…

A: The resulting change in function f (x, y) is given as:

Q: x²y+y°x=-2 .2. X.

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Q: Find the derivative of the function g(x) = (arctan x)³, first showing how to get the d formula for…

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Q: Find dy/dx by implicit differentiation. 8x3 + x?y – xy3 = -8x2 y' = 2/3

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Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: ential equati x²y dy = C

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Q: Using implicit differentiation, dy for the dx equation x* + y* = 10 is x3 .4 y3 yt

A: According to question, Given equation,x4 + y4 = 10

Q: FIND ANTI DERIVATIVE a) S 2. +9 dx x マ d x 1-4x6

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Q: x3 for y = Differentiate. Find dx x-1

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Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

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Q: Find derivative of the i function y = x*

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

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Q: Second derivatives Find d2y/dx2.

A: Given equation is x+y2=1. To find second derivatives d2ydx2. Solution: Power rule of differentiation…

Q: dy by implicit differentiation: 2x 3x? y + y = 15 Find - dx

A: Take the derivative by concept of power derivative and chain rule of derivative.

Q: Find the length of the curve y =x2/8 − ln(x) on the interval [1, 2].

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Q: Find dy/dx by implicit differentiation. x4 (x + y) = y2 (3x- y)

A: We have to find the dydx by implicit differentiation: x4x+y=y23x-y Rewriting given equation,…

Q: Li S cos(x)esin(x)-2y dxdy

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Q: Vith its derivative. A. f(x) S'(x) D. B.

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Q: i) Find the derivative of g(x)= 4x2 ii) If y³+2y-4x=5 find dy/dx cosx

A: Given: (i) g(x)=cos(x)4x2(ii) y3+2y-4x=5

Q: Calculate the derivative 4: Ix=-2' z = 8x2 + 1 (Use symbolic notation and fractions where needed.)…

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Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: Find dy/dx by implicit differentiation. x7(x + y) = y2(2x − y) y' =

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Q: 2. Find y' by implicit differentiation. (5) xy =1+ xy

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Q: Find Differentials Function y = √x        Derivative dy/dx = 1/(2√x)             Differential y =…

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Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

Q: 5 dy 3x4 – 4T + x2 Find the derivative dx, y

A: We have given the equation; We shall use the formula of derivatives that is;

Q: Find dy/yx by implicit differentiation x^3-xy^2+y^2=2

A: Given function is x^3- xy^2 +y^2 = 2.Implicit differentiation is a special case of the chain rule…

Q: ( 2x2 , xs1 Dose f(x) = continuous at x =1?why? %3D &+ 1 , x >1

A: Explanation of the solution is given below....

Q: Derivative of y with respect to x

A: taking logrithum both sides and solve the question.

Q: dy - cosh x dx + (sinh x)y = e¬x

A: see the details solution in below

Q: VI. Determine the instantaneous rate of change of the functio: sin (³) f(x) = V² siz r³ 1 + √t at x…

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Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

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Q: The average rate of change of the function y = x² in the interval 2 sx< 5 is %3D

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Q: nd the derivative of the function y = arctan x + 1+x2

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Q: Find y″ by implicit differentiation. x2 + xy + y2 = 8

A: Given:    Implicit differentiation :     x2+xy+y2=8   differentiating on both sides we get…

Q: Find2 of the parameters: x = sin 2t and y = - cost at t =

A: In this question, we need to find dydx. It is given that x = sin 2t and y = -cos t

Q: find derivative  1. y = ln (3ue^-u)    2. y = ln (2e-^t sin t)  3. y = e^sin t (ln t2 + 1)

A: find derivative

Q: find derivative    1.y = ln (cos^2 u)     2. y = ln (3te-t)    3. y = e^(cos t + ln t)

A: Differentiating y=ln(cos2u) with respect to u using the chain rule.Consider t = cos2u then y =…

Q: Find dy/dx by implicit differentiation. x7 + y4 = 5

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Q: ■ Find dy /dx  by implicit differentiation 2x3 + x 2  y - x y 3 = 2

A: 2x3+x2y-xy3=2

Q: find dy/dx by implicit differentiation x^4+x^2y^2+y^3=5

A: Given: x4+x2y2+y3=5 We have to find the derivative of the given equation. The product rule of…

Q: SIII 2 Consider the function f(z) z +1 derivative and indicate the domain w

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Q: c. Find second derivative implicitly for y + 2Re *y = 3R.

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Q: Find y'' by implicit differentiation. x2 + 4y2 = 4 y'' =

A: The detailed solution is as follows below:

Q: y

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Q: 1 = 1 xy (2x + v)3 = x

A: