(y-1) (y +2y)* 47. z = 48. y= Vr +1 49. y Vx+ vx

Q: Find the derivative of the function using implicit differentiation. 1.) x²+y²= 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: ,) Find by implicit differentiation. SHOW WORK!!! a. dx x* – x²y + y* = 1 .) Find an equation of the…

A: First find the derivative of the function at given point than write the equation of tangent line in…

Q: 5. y = (x+7)(5x- 2)

A: Given : y=(x+7)(5x-2)   To Find : Derivative of the given function.

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 the derivative of y with respect to the appropriate variable 53. у %3D sec (2s + 1) 55. y =…

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

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Q: Find an equation of the tangent line to the graph of the equation at the given point. x2 + x arctan…

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Q: Both x and y denote functions of t that are related by the given equation. Use this equation and the…

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Q: 4. The equation (x – y)² = x + y – 2 defines a function y = f(x) in a neighborhood of (1,2). Use…

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Q: Find the derivative of y with respect to the appropriate variable 57. y = sec-, 0 < : < 1 3 58. y =…

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Q: find the derivative of the following functions: sin(x^(2)+2) (tan^(-1))(z^(1/2)) x^(sin(x)) find the…

A: find the derivative of the following functions:sin(x^(2)+2)(tan^(-1))(z^(1/2))x^(sin(x))find the…

Q: Use implicit differentiation in finding the derivatives of y with respect to x. What is the…

A: Given equation, x2 - 6xy + 3y2 =0

Q: cos 2y + 2x3 = 5 − 4y2ex

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Q: x3 + xy² + x + i(x²y + y³ – y) x² + y2 F(z)

A: We have to find the derivative of f(z).

Q: 2 y-(1-2x) y = 1 – 2x° У y"

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Q: Find the derivatives of the functions y = z sec-1 z - √z2 - 1, z &gt; 1

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Q: Find the derivative of the function. y = (tan-1(4x))2 y' = %3D

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Q: Use chain rule of differentiation to find  Y is equal to 3x²-5x +12 X is equal to 2u²-5u +11 Find…

A: Consider the given function asy=3x2-5x+12 And x=2u2-5u+11

Q: 6. y = (x +3x + 2)(x2 +5x + 1)

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Q: Use implicit differentiation to calculate higher derivatives. Use the method of the previous…

A: Given: Use implicit differentiation to calculate higher derivatives. Use the method of the previous…

Q: Use implicit differentiation to find the derivative of: 9. х2 +x Arctany %3D у + 4…

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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: Find the derivative of x2y? + x³ + y = 8 at (2,0). %3D Find the derivative of y = cot-2 (x).

A: 1) The given function is x2y2 + x3 + y = 8 and the point is (2, 0). Evaluate the derivative of the…

Q: d,x+7 3. dx 2x-3

A: To find: ddxx+72x-3

Q: DIFFERENTIATE THE FOLLOWING USING IMPLICIT DIFFERENTIATION. PLEASE SHOW YOUR SOLUTIONS. 3.…

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

Q: Q2) Apply the differentiation rules to find the derivatives of: Inx 5 (a) y=x*.e*+2- Inx- cosx (b)…

A: Solve the following

Q: 7. Use implicit differentiation to find an equation for the line tangent to the curve 2² + 2xy – y³…

A: Given :           x2+2xy-y3=0

Q: Use implicit differentiation to calculate the derivative - az - if xyz ax + x*y + y²z = 0.

A: Let F(x,y,z)=xyz+x4y+y2z=0 Find the partial derivative of x, Fx=yz+4x3y=0  Find the partial…

Q: 2. y = x5 + 2x* + 5x3 + 4x² + x +1

A: Find the derivatives by applying basic differentiation rules.

Q: Compute for the derivative of the function using rules for differentiation. Properly implement the…

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Q: Use chain rule to find the derivative of the function below: y = cot(t –) -10 y = E- 10) y = tan(5 –…

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Q: find the derivative of y with respect to the appropriate variable.27. y = (1 - u)tanh-1 u 28. y =…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A function is given as x - 6y = 5-x. Calculate the derivative of y b) with respect to x with two…

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Q: Find the derivative of y with respect to the appropriate variable → 49. y = cos '(x²) sin-'V2! 50. y…

A: Solve the following marked questions

Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :

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

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Q: 7. Jx+y +y² + x² = 18, y'at (0, 4 )

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Q: Find an equation of the tangent line to x2 +xy – y³ = 7 at the point (3,2). (You must use implicit…

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Q: Please help! Find y^’’ by implicit differentiation. a) 5x^2+y^2=4 b) 5x^3+4y^3=1 c) x^2+7y^2=7

A: The given equations are: a) 5x2+y2=4 b) 5x3+4y3=1 c) x2+7y2=7 Calculate the value of y''.

Q: (a): Find the first order derivative for the following function: 1+cosecx y = 1- cosecx dy (b):…

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Q: 2x By applying the derivatives from first principle, find the derivatives of y = 5х.

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Q: Compute the derivative. R(y) = 6 cos y-7 sin y

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Q: Find the first and second derivatives of the function. y = cos(x2) y' = y" %3D

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Q: 45. y=- 17-3x z-1 z+1 46. x= (y-1) = (y +2y) 47. z

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Q: Find the derivative of y = 3 sin x A 6 sin x B 6 cos 2x (c) 6 tan x

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Q: Find the derivative of y with respect to x. 26) y = sec-1|2x+3 5 26) y = sec

A: We find the derivative using the chain rule

Q: Find the derivatives of the functions r = 6(sec θ - tan θ)3/2

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Q: I. Find the derivative of y with respect to x. using inrement method x +7 1. у%3х? -3х -5 2. y = Зх…

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Q: Ise implicit differentiation to find the specified derivative at the given point. ind dy at the…

A: Given query is to find the derivative of the expression.

Q: Compute the derivative of the function y using derivative rules. y = (13x4 +5 - 5)³ (Express numbers…

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