4) fip by implicit differentiation, where Find dr y + x?y³ = x* + y.

Q: Question 7

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Q: If 4x2 + 2x + ry = 1 and y(1) = - 5, find y'(1) by implicit differentiation.

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Q: Show that y=sec^2x and y=tan^2x have the same derivative. What can you say about y=sec^2x-cot^2x?

A: Given y=sec²x and y=tan²x Now derivative dy/dx=d/dx( sec²x) =d/dx(1+tan²x) dy/dx= 2tanx sec²x   Now…

Q: Suppose we want to use logarithmic differentiation to calculate the derivative of y=x²x . As a first…

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Q: How do I verify d/dx(cos^-1(x))=-1/(sqrt(1-x^2)) using implicite differentiation?

A: Verify the result by implicit differentiation as follows.

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

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Q: 4х — бу? 3 ху?

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Q: Determine the derivative of the following functions. 1. у 3 (8ӕ — 1) sinh(8a — 1) 2. y = (5)…

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

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: Suppose that x and y are related by the equation 2x-y 2 and use implicit differentiation to…

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Q: | If In(x² – 3y) = x – y + 3 and y(-2) = 1, find y (-2) by implicit differentiation. y(-2) = An…

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Q: 2.) Investigate the derivate of the function ƒ(2)=Imz by using definiton of derivative.

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Q: If 5æ? + 3x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation. y(1) =

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Q: If 3x2 + 3x + xy = 2 and y(2) 8, find y' (2) by implicit differentiation. %3D 1

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Q: Find by implicit differentiation for x2+y2=25 at point P(0,5).

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Q: if the derivative of x2sinx+2xcosx-sinx  is (Ax2+B)(cos(C(x/2))). FInd the value of A, B, and C.

A: Given: x2sinx+2xcosx-sinx Differentiate the equation.…

Q: Question 3

A: Consider implicit equation and

Q: If 4x + 4x + ry = 3 and y(3) = 15, find y'(3) by implicit differentiation.

A: We have to find derivative at that point

Q: Find the derivative of the function.

A: Consider the given function as y=xtan-12x-14ln1+4x2

Q: If 5a + 3x + ry = 1 and y(1) = - 7, find y'(1) by implicit differentiation.

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Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: If Va + Vy = 8 and y(25) = 9, find y' (25) by implicit differentiation. Submit Question Jump to…

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Q: 2 If 3x? + 4x + xy = 1 and y(1) = - 6, find y'(1) by implicit differentiation.

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Q: Find by implicit differentiation when ry sec(y) 1+y* 3 -

A: The given equation is:xy3secy-3=1+y4

Q: If 2x^2+3x+xy=5 and y(5)=-12, find y’(5) by implicit differentiation

A: Given:- 2x2+3x+xy=5 , y(5) =-12 To find:- y'(5) by implicit differentiation

Q: Find az when yz+x In y = 2.

A: Use implicit differentiation

Q: - Find or y' by implicit differentiation dx - 4x 36

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Q: Find y" by implicit differentiation. 4x3 + 5y3 = 6 У" :

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Q: If 5x + 5x + xy = 4 and y(4) : y'(4) by implicit differentiation. – 24, find -

A: Given 5x2 + 5x + xy= 4 and y(4) = 24

Q: al derivative using your own words.

A: We have to define the directional derivative

Q: If 3x + 3x + xy 4 and y(4) = - 14, find y' (4) by implicit differentiation.

A: According to question,Given equation,3x2 + 3x + xy = 4,y4 = -14

Q: Find y" by implicit differentiation. 5 + y = 6 5x

A: Please refer to the image below

Q: If 5x + 3x + xy = 10 and y(5) = – 26, find y'(5) by implicit differentiation. Enter exact values.…

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Q: If 5x^2+2x+xy=4 and y(4)= -21, find y’(4) by implicit differentiation.

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Q: For some equations, such as x2 + y2 = 1 or x - y2 = 0, it ispossible to solve for y and then…

A: Implicit differentiation is usually a more efficient method for calculating the derivative of a…

Q: By using first principle of differentiation find f'(y), if fo) = My-N %3D

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Q: 3. Find if y³ + 2xy - x² = cos x using implicit differentiation.

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Q: If 1 - + - and y(8) = , find y (8) by implicit differentiation. / (8) =

A: Given  1x+1y=2orx-1+y-1=2 Differentiate with respect to x

Q: Find y'' by implicit differentiation 4x3+3y3=6

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Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

Q: If 4x2+3x+xy=20= and y(5)=−19, find y′(5) by implicit differentiation. Enter exact values.

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Q: 1. Find by implicit differentiation for xe = 2xy + y³.

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Q: If 5x + 2x + xy = 3 and y(3) 16, find y'(3) by implicit - differentiation.

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Q: Show that x + yx−1 = 1 and y = x − x2 define the same curve [except that (0, 0) is not a solution of…

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Q: 6. Write the equation of the line tangent to the curve yInx+x²y = 3 at the point (1,3). Use implicit…

A: Given : y2lnx+x2y = 3

Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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Q: If 4x + 5x + xy = 3 and y(3) = – 16, find y'(3) by implicit differentiation.

A: Given, 4x2+5x+xy=3 and y(3)=-16

Q: If 3x + 2x + xy = 4 and y(4) = – 13, find y'(4) by implicit differentiation. %3D

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