Find the equation of the tangent line to the curve y = (2 In(x))/x at the points (1, 0) and (e, 2/e). at the point (1, 0) y = at the point (e, 2/e) y = Illustrate by graphing the curve and its tangent lines. y 1 5 -5 -4 2 3 -3 -2 -3- -3- 2f 3 4 -5 -4 -3 -1

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex + x,  (0, 9)

A: Given: y=9ex+xx1=0y1=9 The objective is to find the equation of tangent line to the curve

Q: Find an equation of the tangent line to the curve at the given point. y = 6ex + x,  (0, 6) y =

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Q: Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 2ex,…

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Q: Find an equation of the tangent line to the curve 2(z + y)² = 25(z² – ) (a lemniscate) at the point…

A: We have to  find

Q: Find the slope of the tangent line to the curve defined by x2 – 3xy – 3y = -84 at the point (-6, 4).…

A: To find the slope of the tangent line to the below curve the point (-6,4)

Q: Find equations of the tangent lines to the curve y = 6 n) at the points (1, 0) and (e, at the point…

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Q: Find the equation of the tangent line to the curve y = (5 In(x))/x at the points (1, 0) and (e,…

A: Given: f(x)=y=5lnxx Equation of tangent to a function f(x) at (m,n) is given by y-n=f'(m)x-m

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: Find an equation for the line tangent to the curve y =x +1 at the point (-2,5). Sketch the curve and…

A: The curve is y=x2+1 at the point (-2,5).

Q: Find the equations of the tangent line to the curve at the given point. y = 5cos x. (1/3,2.5)…

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Q: Find equations of the tangent line and normal line to the curve at the given point. = x* + 9e*, (0,…

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Q: Find equations of the tangent line and normal line to the curve at the given point. (1, 0.25) y = x…

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Q: 3 Find the equation of the tangent line to the graph of y(x) = 4(x – 1)° at x = 2. Equation of the…

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Q: Find the equation of the tangent line to the curve y=9√x at the point (4,18). The equation of the…

A: Find y' and the value of y' is the slope for y.Find the slope m at (4,18).

Q: Find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2,    (4, 58)

A: Here we find the  equation of the tangent line to the centrey=x3-2x+2  at the point 4,58

Q: Find the equation of the tangent line to the curve y = 3x at the point (1, 3). The equation of the…

A: Given,           The curve is y=3x and point is 1, 3.

Q: Find equations of the tangent lines to the curve y= (ln x) /x at the points (1, )d and (e, 1/e).…

A: y=In xx,  (1,0),(e,1/e) Find y'              quotient rule :fg'=f'g-fg'22…

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

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Q: An equation of the tangent line to the curve C at the point (1, 2) is y-2=-(-1) A у — 2%3 y-2=2(x-1)…

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Q: Find the equation of the tangent line in the given place. complete solution 1.) Tangent to the…

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Q: Find the equation of the tangent line to the curve y=8ln(x3 −63) at the point (4,0)

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Q: Find equations of the tangent lines to the curve y = o mc) at the points (1, 0) and at the point (1,…

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Q: Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 6ex,…

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Q: Find an equation of the tangent line to the curve y = 9" at the point (2, 81) . Tangent line: y =

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Q: Find an equation of the tangent line to the curve at the point (2, 0). y = ln(x2 − 3)

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(x) + cos(x),      (0,…

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Q: Find an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the…

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the…

Q: Find an equation for the line tangent to the curve y =x +5 at the point (2,9). Sketch the curve and…

A: Differentiating the equation of parabola and substituting the point gives the slope at that point.

Q: find the slope of the curve y=x^2-4x-4 at the point P(3,-7) by finding the limiting value of the…

A: Now let the secant line passes through the points  Now slope of the secant line is,

Q: Find equations of the tangent line and normal line to the curve at the specified point. (1, 0.1) y =…

A: the objective is to find the equation of tangent line and normal line.

Q: Find the slope of the tangent line to the curve y = 5 – x at the point (1,4) by analysing the slope…

A: Given query is to find the equation of the tangent line.

Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

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

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Q: Find the equation of the tangent line to the curve y = ( at the point (1, 0) at the point (e, 8/e) y…

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Q: Find the equations of the tangent lines at the point where the curve crosses itself. x = 3 - 6t y =…

A: The given curve is: x=t3-6ty=t2

Q: Find an equation of the tangent line of the curve y= x^3 -3x+1 at the point (2,3

A: We have to find equation of tangent line

Q: Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at a) The equation…

A: Given: The graph of fx=1x6 To find the equation of tangent line at a) 1,1 b) 3,1729 c) -2, 164

Q: A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of…

A: A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of…

Q: Find an equation of the tangent line to the curve y = 9"| at the point (2, 81). Tangent line: y

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Q: Find an equation of the tangent line to the curve at the given point. y = (x+1)/(x-8) ,    (7, −8)

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Q: The slope of the tangent line to a plane curve y=f(x) at the point (x,y) is given by 3 - 2 m=- + 16x…

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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: Solve for the equation of the tangent line to the curve y=3x2-4 that is parallel to the line 3x+y=4…

A: The slope of two parallel lines is equal. The product of slopes of lines normal to each other is -1.…

Q: Find the equation of the tangent to the curve y=2(e^x) at the point (0,2).

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Q: Find an equation of the tangent line to the curve 2(z² + )? = 25(z² - y) (a lemniscate) at the point…

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Q: Find the equation of the tangent to the curve y= 3 + 2x - x 2

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Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the…

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution…

Q: Find the equation of the tangent line to the graph of y(z): Equation of the tangent line is y…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y = 4x…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y − 3)2 = 37,…

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