Find the point(s) on the curve where the tangent line is horizontal i.e. slope is zero). 3 (x+x²' f (x) = 1+x²,

Q: Find the points on the graph of y = tan x, 0sxs2n, where the tangent line is parallel to the line 4x…

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Q: 2. Find the slope of the tangent line to the curve y = x3 – 2x + 1 at x = 1.

A: As we know that: The first derivative of the function at a point is equal to the slope of the…

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

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

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Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: Find the equation of the tangent line at the given value of x on the curve. 2y' +xy - y = 54x*, x= 1…

A: Explanation: Given that: 2y3+xy-y=54x4 x=1 Concept: The standard equation of tangent line y=mx+c…

Q: 4 The slope of the tangent line to the curve y = X at the point 5, is: 5

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

A: Given,          The curve is y=x+2x and the point is 2,3.

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: Find the slope of the tangent line to the curve of y = x 2 at the point where x = −6

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: 3. What is the equation of the tangent line to the curve x3 + x² = y which is parallel to the line…

A: Given the equation of the curve y=x3+x2 and the tangent line is parallel to 3y+x-5=0

Q: 4. x-y = 2 at (2, 2)

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Q: Find the slope intercept equation of the tangent line to the graph of y = Vx-1 at x2+1 the point…

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Q: Find an equation of the tangent line to the graph of y = e at the point 2, y =

A: The given function is:y=e-x2The point is 2, 1e4

Q: Find the slope of the tangent line of y=csc(x) at x=π/3

A: Given, y =cscx   We have to find the slope of the tangent line at x = π3

Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

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Q: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Find the slope of the tangent line to the curve defined by 4x + xy – y = 1760 at the point (8, –4).…

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Q: Find the slope of the tangent and normal to the curve  y=2x2+3sinx at x=0

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Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: 6. What is the slope of the tangent line to the inflection point of the curve y = x3 – 4x2 - 3x – 6?

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the slope of the tangent line to the graph y = x' - 3x +x at the point (2,–2). Hence, find the…

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Q: on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0

A: We have to find tangent line to y , first we will find  value of y at x=0.

Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

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Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Find the points on the graph of y = ex where the tangent line has slope 4.

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Q: What is the slope of the tangent line to the curve y= -sin 3x at x=

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Q: Find the slope of the tangent line to the curve y=Xarcc sin x at the point 2, Ta

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Q: Find the equation of tangent line to the curve at the given point x2 + 2xy - y2 + x = 2 (1, 2)

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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 slope of the tangent line at the indicated point * y = Vx2 – 2x at x = 3

A: Here, y=x2-2x So, the slope of the tangent at x=3 is: dydxx=3

Q: Determine the slope of the tangent line to the curve y= In x^2 at x = e^2

A: The given curve is

Q: 3 at the point ( 6, (0.) The slope of the tangent line to the curve y = is:

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Q: Where on the curve y = (121+ x²) * does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Find an equation of the tangent line to the curve y=5^x at the point (1,5) . Tangent line y =

A: We will find the equation of the tangent line to the curve y=5^x at point (1,5) in the following…

Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

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Q: Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

Q: Find the slope of the tangent line to the curve y = arctan(13x +e) at the point (0, 7/2).

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Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: find the equation of the tangent line to the curve y=x 'square root of' x at the point (1,1).

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Q: Find equations of the tangent line and normal line tothe curve at the given point.   y= x2 - x4 ,…

A: Given, y=x2-x4, 1, 0

Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y° + xy - y = 16x*; x=1…

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Q: Determine the slope of the tangent line to the curve (x² + y² – 2x)² = 2(x² + y²) at (2, 2).

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Q: Find the slope of the tangent line to the curve x y-y = 10 at the point (3,2). -5/3 0 1 0 4 O 1/4

A: Given a curve x2y - y3 = 10  So here slope of tangent will be dydx  at given point 3 , 2 Now…

Q: Find the equation of the tangent line at the given value of x on the curve. 4y +xy-y 32x*; x=1 y=

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