3x" -2x+5 1. 4x2-3х+5 2. 2сos(30?) |2у+4y 3. V y²-4

Q: An equation containing an unknown function and its derivatives

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Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line…

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Q: . Find the equation of the tangent line to the curve y=(x-1)^ 5 (x+4)^2  at the point (2,36). The…

A: As our company guidelines we are supposed to do only first question please repost other question as…

Q: Answer with Solution Follow the Instruction. 2. Formation of Differential Equations by…

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Q: Find the first and second derivative of (x^3-3x^2+5)/(x^3+1). I found the first derivative, I…

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Q: az 9- z2 – 2xz 16 find | ax ду at the point (1,1) 10- x+ 2xy – y² = 2 find ax 11- Find The slope of…

A: 9)z2-2xz=16differentiating w.r.t. x;2z ∂z∂x-2z(1)-2x ∂z∂x=0(z-x)∂z∂x=z∂z∂x=zz-x

Q: Jx -Jx-15 = 3 JX-15 =Jx - 3 X-15= Salvethe equation

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Q: If 2x + 2x + xy = 4 and y(4) = - 9, find y'(4) by implicit differentiation. Question Help: Message…

A: We will solve the problem

Q: How to solve this equation using implicit differentiation? 2(x2+y2)^2=25(x2-y2)

A: Given,

Q: Find an equation of the tangent line to the curve at the given point. Y= x^3 -3x+2, (2,4)

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

A: Here, we are going to solve only one question and for the remaining question please post the…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

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Q: 2 y-(1-2x) y = 1 – 2x° У y"

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Q: Find the equation of the tangent line to the curve y=5x /1+x^2 at the point (4, 20/17) The equation…

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Q: a. Sketch the curve f(x) =x/(x-1)^2 b. Find the equation of the tangent line and normal line of the…

A: a) f(x)=x(x-1)2b) y3+3xy+x4=5 at the point (1,1)

Q: Function 1: y =x2 +4 Function 2: y= 3x + 4 Rotation: x- axis Interval: Solve

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Q: The slope of the tangent line to the curve y 2a at the point (- 5, – 250) is: The equation of this…

A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx =…

Q: 10. Find an equation of the tangent line to the graph of y = x - 3x? + 2 at (1,0). 11. Find an…

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Q: 3. Find the equation of tangent line of the function f(x) = at the point %3D (6, 4).

A: f(x)=8x-2, at (6,4)Conceptpoint slope form is y-y1=m(x-x1)m is f'(x) at the given point

Q: Discuss two applications of derivatives to something other than tangent lines and velocities

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Q: (5) The slope of the tangent line to y = sin x at x = 0 is (5) Since you have the slope, you can…

A: We know that to find slope  1.find the first derivative of given function 2.put the given X value in…

Q: Find the equation of the curve that passes through the point (0, 3) and has a slope of 2 x+1 O y =…

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Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

Q: Write down your complete solutions. Enclose all final answers in a rectangle. 1. Obtain the…

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Q: show your complete solution Find the first, second and third derivative of y = 5 cos(x) + (x + 5)-2…

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Q: give the derivatives problem examples with solution 3 problem examples of product rule

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Q: Find y" by implicit differentiation. 2x3 + 3у3 3 2 -4x y" = 3y2 Need Help? Read It Watch It

A: We have to solve the derivative

Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4.…

A: Topic:- function and derivatives

Q: The function y(x) satisfies the equation 25x2-10y+1/2y2. What is the value of the second derivative…

A: It is given that yx satisfies 25x2-10y+y22=0. Differentiate 25x2-10y+y22=0 with respect to x as…

Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

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Q: y^2dx + (x^2 + 3xy + 4y^2)dy = 0; when x = 2 , y = 1

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Q: 5. (15 points) If y = cos-1(2x) compute and find the equation for the %3D da tangent line at xo = V3…

A: Given : the equation is y=cos-12x and a point is x0=34. To find: The value of dydx and equation of…

Q: 3. (10) Find the equation of tangent line in slope-intercept form to the curve y-r'y+-3=0 that…

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Q: Derivatives of y = 3x²(x² + 1)³

A: We can find the derivative as below.

Q: 5. Une differentiation rules to find the derivatives and simplify: 5.1 y - +1

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Q: parabola y = x2 - 6x + 7 at the point (2, -1). SOLUTION From the previous example, we know the…

A: Given query is to find the equation of the tangent line on f(x).

Q: 27 SECOND DERIVATIVES Find TUTORIAL 22 if y-In (x + 1). Answer 2-2x² 22-2

A: Note:-As per your mentioned request I am solving question 1 from the given picture. Given is…

Q: can you explain the whole process, step-by-step? like in an essay type. how did they find the first…

A: Here the question is to find the first and second derivative of the function f(x) = 12cos2x. To find…

Q: 2. The slope of the tangent to a curve at any point (x, y) on the curve is. Find the equation of the…

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Q: ne differential equation (9x-4y+4)dr-(2x-y+1)dy =0, the lines 9x- 4y +4 = 0 and 2x-y+1)=0 intersect…

A: Please refer to the image below

Q: Obtain the solution of the following differential equation. 3. (x+y-4)dx - (3x-y-4)dy = 0 ; when x =…

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Q: 1. Linear equation of order one: dy-(r' -2xy dx =0

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

Q: A)Determine the equation of the tangent to the curve y = (2x2 – 3) (x + 1)2 at the point where x =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: An equation of the tangent line to the curve y=(x^2 +1)^3 at the point (1, 8)

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Q: A problem or equation of the tangent line to a curve at the point (1,3) is y = x+2. If at any point…

A: Let's find.

Q: derivatives in Column B. 1. f(x) = 4 A. f'(x) = 8x 2. f(x) = 4x В. f'(x) = -4x-2 3. f(x) = 4x² С.…

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Q: Find y"by implicit differentiation of x3 + y3 = 1.

A: x3+y3=1 ddxx3+y3=ddx(1) 3x2+3y2dydx=0 dydx=-x2y2

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

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Q: III. CHOOSE ONE PROBLEM AND SOLVE USING THE CONCEPT OF DERIVATIVE OR DIFFERENTIAL OF A FUNCTION. 7.…

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Q: (5,2). Find the equation of the tangent line to the curve y = 2 sec x 4 cos x at the point The…

A: Given:     y = 2 sec x  - 4 cosx      Point : ( π/3 , 2)