B- Find if y = (x²+1)(x+3)²/2 -, x >1. dx X-1

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

A:

Q: Q2: - If y = 3 sec3t and x = etan3t prove that: - dy (In3)² ,Y logy x %3D dx

A:

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

A: The logarithmic expression

Q: (1) x² + 3xy+y? = 4 (2) -=y² +1 x-y

A:

Q: Find dy/dx by implicit differentiation   x2 + xy -y2 =4

A: Differentiate both sides with respect to x. For xy use product rule

Q: Find dy/dx by implicit differentiation. xy + 5x + 2x2 = 3

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Q: d sinh x) = cosh x dx

A: By using hyperbolic functions definition, sinhx =ex-e-x2   and coshx =ex+e-x2

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

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

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Q: dy by implicit differentiation if dx 3 9. = 1. Find - -

A: The given function is 3y+9x=1

Q: Find the indicated derivative. for y = dx 1 - 2x2 x* - 2x2 + 3 dy dx II

A: on doing differentiation we get

Q: Find - by implicit differentiation. dx = y² + 2 x + y dy dx

A: differentiate wrt x

Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

A:

Q: ■ Find dy /dx  by implicit differentiation x3 + y 3 = 1

A: The given equation is x3+y3=1 Use implicit differentiation( chain rule) to find dy/dx .…

Q: Find dy/dx by implicit differentiation. 6/(x^6) + 6/(y^6) = 14

A: We have to find dy/dx by implicit differentiation.

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

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Q: x* + x²y² + y³ = 5

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Q: Find dy/dx by implicit differentiation. 5x + y = 8 + x²y²

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: find dy / dx by implicit differentiation.

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Q: /4 - x2 the integral | dx, becomes

A: Given the integrationI=∫4−x2x2dx

Q: 4. FIND d²y BY IMPLICIT DIFFERENTIATION: x² + y² = 81 %3D dx2

A: Given: x2+y2=81

Q: Find dy/dx by Implicit Differentiation 2xy³ – x²y = 2

A:

Q: arctanx e dx (1+x²,"

A: The given problem is to evaluate the given integral. We have to evaluate by using substitution…

Q: Find dy/dx by implicit differentiation. x2 + xy - y2 = 4

A: Given function is, x2+xy-y2=4.   It is implicit differentiated as follows:…

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

A:

Q: find dy / dx by implicit differentiation.

A: We have use implicit differentiation in the following equation to find dydx. 2x3 + 3y3 = 64

Q: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

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Q: Find dy/dx by implicit differentiation. x4y6 - 24xy4 = 22

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Q: Find dy/dx by implicit differentiation. 6,,3 x°y - y = x dy/dx

A: On implicit differentiation we differentiate both sides of the equation with respect to x . Then we…

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: Find the indicated derivative. 1 - 2x2 x4 - 2x2 + 4 dy for y dx dy dx %3D

A: We will find dy/dx, using the form of             d/dx (u/v) .

Q: Find dy/dx by implicity differation.

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Q: Find dy/dx by implicit differentiation. x3 + 7x + 3xy - y5 = 25

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Q: Find the derivative. x(x dx d [5x (x* + 1)°]-I dx

A: Given : d/dx[5x(x^4+1)^6]

Q: find dy/dx by implicit differentiation y2 = 2e-1/x

A: We have to find dydx by implicit differentiation for the given equation: y2=2 e-1x We know formula…

Q: What is the process for finding dy/dx when y is an implicit function of x? Illustrate with an…

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Q: Find the given derivative. DX 5x -- Dx 5x 1/3 1/3

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Q: Find dy by dx when  f(x) =2x²-x+5÷3x+2

A: The derivative of a function gives the rate of change of a function when an infinitesimal change is…

Q: Example Find dy/dx for the function y = x² In (4x)

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Q: -2(х-1 — х?) dx

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Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: find dy/dx by implicit differentiation x2 + xy + y2 - 5x = 2

A: Given: The implicit function x2+xy+y2-5x=2 The given function can be differentiated by…

Q: Find dy/dx by implicit differentiation. x4/3 + y4/3 = 1

A: Given that: x4/3+y4/3=1

Q: (2x + 1) 2 dy dx |- 2x

A:

Q: 1 B3. Evaluate dx, using substitution method.

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Q: Find the Indicated Derivative dy - 3x* + 2x³ – x + T1, 1. y= 4x5 dx

A: 1. derivate with respect to x

Q: Find the indicated derivative. 1- 2x2 x4 - 2x2 + 3 dy -for y = dx dy dx

A: Recall: uv'=vu'-uv'v2

Q: Find dy/dx by implicit differentiation. 5x^(3)+x^(2)y-xy^(3)=-8 dy/dx=?

A: We are given an implicit equation as

Q: The second derivative d^2y/dx^2 of y^3 = xy + 1 at the point (0,1) is

A: