The function f is defined forx>0 and is such that f'(x) 2x -. The curve y = f(x) passes through the point P(2, 6). (i) Find the equation of the normal to the curve at P. [3]

Q: Find equations of the tangent line and normal line to the curve at the given point. yy = √xx xx+1 at…

A: According to the given information, it is required to determine the equation of tangent and normal…

Q: 7. For the curve y = x2 + x, at what point does the normal line at (0,0) intersect the tangent line…

A: Find the slope of the tangent at (0,0): m=dydx=2x+1=20+1=1

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +…

A: We have to find the equation of normal and tangent line.

Q: Find equations of the tangent line and normal line to the given curve at the specified point in…

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Q: Find the equation of the tangent and normal line of the function f(x) = V2x – 1 at the point (5, 3).

A: fx = 2x-1     , 5,3f'x = ddx2x-1     = ddx2x-112        = 122x-1ddx2x-1        = 222x-1 = 12x-1∴f'5…

Q: For x^2 tan(y)+6x=12 Find the equation of the tangent line at (2,0) and find the equation of the…

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Q: Find the equation of the tangent line and normal line to the curve y= √( x− 3) at (4,1).

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Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the…

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Q: 2. Find the equation of the tangent and normal line of the function y+ 3xy +x = 5 at the point (1,…

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Q: Find an equation of the tangent line and normal line to the curve at the given point. y = (2x)/(x2 +…

A: Given :          y=2xx2+1     1,1

Q: ) Find the equation of the normal to the curve y(x+1) = x²+2y at x = -1

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Q: Find the equation of the tangent and normal line of the function y³ + 3xy + x* = 5 at the point (1,…

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Q: Find the equation of the tangent line and the normal line to the graph of the function b) f(x) = x…

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Q: Find the equation of the tangent plane to the graph of g(x, y) = ln(6x² – 3y²) at the point (1, 1).…

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Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: The Normal to the curve 2x² – y² = 1 at the point (1,1)

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Q: find the derivative of y with respect to the appropriatevariable. y = s√(1 - s2) + cos-1 s

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Q: Find the equation of the normal to the curve of y = tan at x = 3.

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Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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Q: The tangent line to y = f(x) at (0, –8) passes through the point (7, 4). Compute the following. a.)…

A: Given: y = f(x) at (0,-8) Passes Point ( 7,4)

Q: Find all points​ (x,y) on the graph of y=x/(x−1) with tangent lines perpendicular to the line y=x−8.

A: The given function for the tangent is, Differentiate the above expression to get the slope of the…

Q: 3. Find the equation of the normal line to the curve f(x) = 6e2* cos x at the point (0,6).

A: Given: fx=6e2xcosx; 0,6 We know that for finding equation of normal at given point, we need to find…

Q: For the curve: f(x)=√x-5 the equation of the tangent line when x=9 is Oy--(x+1) Oy--1(x-1) y= Oy- (x…

A: This question can be solved using the concept of tangent and normal.

Q: Find the equation of the normal line to the curve y=arccot1x at x=1.

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Q: Find equations of the tangent and normal line to the curve y = x cos x at x = t/2.

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Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

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Q: Find an equation of the tangent line and normal line to the curve at the given point for the…

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Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: Find the equations of tangent and normal lines of the curves at given points: y²-3xy - x = 0 at(2,8)

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Q: Find the equation of the tangent line and normal line to the curve: 2. x2 + 2xy = y3 at the point…

A: Firstly, we find  dy/dx by differentiating both sides with respect to x

Q: For the function f(x) = x² – 4 at the point (4, 12), find: a. the slope of the curve using the…

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Q: ; Find the equation of the tangent and normal line of the function f(x): V2x – 1 at the point (5,…

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Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

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Q: Find the equation of the tangent line on the curve defined by 2xy- y² =1 at x = 1. A y=x-1 B y=1 ©…

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Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: f(x,y) = 4x² + y² + 2 at the point wherex = 1 and y = 1.

A: The equation of the tangent at point (1,1) is: z=f(1,1)+fx(1,1)(x-1)+fy(1,1)(y-1)

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x = is %3D

A: We need to find slope of normal line.

Q: 4. Find the tangent line to the curve y = In(x + x + 1) with slope 1. (2점)

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: Find the equation of the normal line to the graph of ey tan(xy) − ln(x2 − 4y) = sin2(πx) at the…

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Q: Find the equation for the tangent line to the curve f(x)=cos(x)-2sin(x) at the point (0,1). O y=-x+1…

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Q: b) Find the equation of the normal line of curve sin x + cos y = 1 at point

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Q: Find the slope of the normal line for the curve given by e* –2y=cos(y)–2x at the point (0,0).…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: We know  ,        The equation of tangent is :              Y - Y1 = m ( X - X1)  The equation of…

Q: Find the equation of the tangent line to the curve 2y³ – xy² + cos (xy) = 3 at the point ( 0,1) .

A: Given curve is:  2y3-xy2+cos(xy) = 3 For slope of the tangent, differentiate the curve equation

Q: at x= - 2 Given : x-Xy + 2y -3 = 0

A: Given : The equation of curve x2 - xy + 2y - 3 = 0  To find the equation of the tangent and the…

Q: Find an equation of the tangent line and an equation of the normal line to the curve y = In(x² + y²)…

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Q: A curve y = f(x) defined for values of x > 0 goes through the point (1, 0) and is such that the…

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Q: Find the equation of the normal to the tangent line for the equation x'y+ xy² +x² + y² = 0 at the…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: 5. Find the equation of the tangent line and normal line to the curve f(x)= at the point(,4).

A: The tangent line is horizontal where y'=0. So at first we differentiate the given curve and equate…