Show that an equation of the tangent line to the graph of =D2 at the point (a, b) is given by 2. b II

Q: Find the equation of the tangent line to the curve at the given point. y = 5x – 2x, (1, 3) y =

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Q: Find an equation of the tangent line to the graph of y = In(x²) at the point (3, In(9)). 2x y = * +…

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Q: Find an equation of the tangent line to the graph of the equation In(x) + xe' = 1 at the point (1,…

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Q: Determine the slope of the tangent line to the curve (;² – 2x – 8) 2 -9 R(x) = at the point where…

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Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 5x)°, (0, 1) %|

A: Given equation of curve: Point (0, 1)

Q: Find the point of tangency and equation of the tangent line of the following functions given a…

A: First we find slope of the function y=5x2-x dydx=10x-1dydxx=1=10(1)-1dydxx=1=10-1dydxx=1=9 At x=1,…

Q: Find the equation of the tangent line to the graph of y(x) = 12( - ;)' at æ = 2. Equation of the…

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Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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Q: Find the equation of the tangent line at the given point on curve.

A: According to power rule of differentiation ,ddx(xn)=nxn-1 and and according to product rule of…

Q: Is there a formula to do this? What is the process?

A: Given curve is: First, find the slope of tangent line:

Q: Find an equation of the tangent line at the point specified. y = excos2 x, x = π/4

A: Given curve is y=excos2x. To find the equation of the tangent line at the point x=π4. Solution: The…

Q: Find the equation of the tangent line to the curve at the given point. y = /2x + 1, (4, 3) y =

A: See the attachment

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 3x)°, (0, 1)

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

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

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: Find an equation of the tangent line to the curve at the following point:  y=4/1+e^-x, (0,2) y=?

A: We first find the slope of the tangent using the first derivative y=41+e-xy=4(1+e-x)-1…

Q: Find an equation of the tangent line to the curve at the given point. 2х + 1 8. у — (1, 1) x + 2

A: We know that equation of tangent line is given as - ( y - y1 ) = m ( x - x1 ) . Here 'm' is slope of…

Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

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

A: This question is based on application of Derivative.

Q: Find the equation of the tangent line to the curve at the given point. y = V2x + I, (4,3) y =

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Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: Find an equation of the tangent line at the point indicated. y = Cos x, π/3

A: To find an equation of the tangent line y = cos x, at the point x=π3 At point x=π3, y=cosπ3y=12 The…

Q: What is the equation of the tangent line to the curve y = at point (0, 0)? O none of the choices O y…

A: Given :      y = 3√x    Point : (0 ,0)

Q: The slope of the tangent line to the curve y at the point ( 5, is: The equation of this tangent line…

A: Given curve is : y=3x To find the slope of tangent at the point 5,35 and equation of tangent in the…

Q: Find an equation of the tangent line to the curve atthe given point.

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Q: Show that an equation of the tangent line to the graph of = 2 at the point (a, b) is given by a b.…

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Q: Find an equation of the tangent line to the graph of the function                         y = 4x…

A: The given equation is y=4xarccosx-1.   Find the slope of the tangent line by differentiating the…

Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: Find an equation of the tangent line to the curve atthe given point.y =sqrt ( 1 + x 3 ),…

A: Given, y=1+x3 , (2,3)

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 3x)1, (0, 1)

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Q: Find an equation of the tangent line to the curve at the given point. y = 2ex + x, (0, 2) y 11

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Q: An equation of the tangent line to the curve C at the point (1, 2) is

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Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

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Q: Find an equation of the tangent line to the curve at the given point. 5x y = x + 3' (2, 2) y =

A: Given curve, y=5xx+3 we have to find the equation of tangent line to the given curve at point (2,2).…

Q: Find an equation of the tangent line to the curve y=x√xthat is parallel to the line y= 1 +3x

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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: The slope of the tangent line to the curve C at the point (1, 2) is (A) 4 (B -2 c) 2 D -4

A: Solving the problem by finding the slope of the tangent.

Q: Find an equation of the tangent line to the curve at the following point: y = (1+ 4x)", (0, 1) y =

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Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x – x°, (1, 2)

A: Given that y = 1+ 2x - x3

Q: Find an equation of the tangent line to the given curve at the specified point:  y= ( sqrt(x)…

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Q: Find an equation of the tangent line to the graph of y = e at the point 5,

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Q: 4. Find the equation for the tangent line to the graph of y = VT at a = 2. Remember to keep every…

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Q: Find an equation of the tangent line to the given curve at the specified point: (4) 2 y = x + 1 ' 5

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Q: Find an equation of the tangent line to the curve at the given point:  y=(2x+1)/(x+2) ,    (1,1)

A: To determine the equation of the tangent line.

Q: i. Find the equation of the tangent to the graph of g at (4, 2).

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Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

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Q: Find the value of x at which the tangent line to the curve y = passes through the origin. x+3

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