Find equations of the tangent line and normal line to the curve y = x/x at the point (1, 1). Illustrate by graphing the curve and these lines.

Q: Find the equation of the tangent line and the normal line of the curve at given point:

A: Given, The curve y2 = x34-x We have to find equation of the tangent line and normal line to the…

Q: Find the equation of the tangent and normal line to the curve y=x2 at x=1

A: Tangent is a line to the curve that just touches the curve at a particular point. Normal is a line…

Q: tangent

A:

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

A: Given curve: Let the slope of the tangent line to the given curve is m. And the slope of the normal…

Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

A:

Q: Please Find an equation of the tangent line to the curve y=5^x at the point (2,25) . Tangent line:…

A:

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 tangent and the normal to the curve y=5x4 at the point (1,5)

A:

Q: y = 2x' - x' +x+1 when x =1

A:

Q: Find the slope of the tangent line to the curve - 3æ² ³ = - 199 3x? + lœy+ 3y at the point (1, – 4).

A:

Q: find the equation of the tangent line and normal line to the ff. curves at the indicated point.

A:

Q: What is the slope of the tangent line to the curve xy +y– 1=0 at the point (0, 1)? -1 -3 -2 1

A:

Q: Find the equation of the tangent line at the given value of x on the curve. y3 + xy? - 3 = x + 5y²;…

A: Calculate y at x =5.

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

A:

Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: y = 4x3 – 12x² – 16x at x = 1

A: Equation of line at point (a, b) and slope m is : (y - b) = m*(x - a)

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

A:

Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

A:

Q: Write the equation of the tangent line to the curve = 2 at the point (1,1). .3

A:

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

A: The given equation is,

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

A:

Q: 3. y = ( lat x 1

A:

Q: Find an equation of the tangent line to the curve xe + ye = 3 at the point (0, 3)

A:

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. 4x? + 9x?…

A: The given equation,     4x2+9x2=25, 2,-1

Q: Find equations of the tangent line and normal line tothe curve at the given point. y= 6Cosx  (π/3,…

A:

Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y= x + 5X at the…

A:

Q: Find the equations of the tangent and the normal lines to the curve x5 + y5 = 4 x2y2 at the point…

A:

Q: Find an equation of the tangent line to the curve at the given point. X + 1 y = (5, –6) X - 6 y =

A:

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

A:

Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

Q: Find an equation of the normal line to y = x2 at the point (2, 4). (The normal line at a point is…

A: y=x2 Differentiating with respect to x, we get dydx=2x Now slope of the tangent line at 2, 4 is,…

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 the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

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 the tangent and normal lines to the curve y=sqrt(x) at the point (1,1).

A:

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

A: y=xx+1y'=12x(x+1)-x(1)(x+1)2y'=12x(x+1)-x(x+1)2At x=4, y'=124(4+1)-4(4+1)2=54-225=-3425=-3100

Q: Find an equation of the tangent line to the curve at the given point.y = x4 + 5x2 − x, (1, 5)y=

A: Equation of the curve: y = x4 + 5x2 − xSLope of the curve = dy / dx

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

A: The given equation of the curve is: y=x4+9ex.   We have to find  the equation of the tangent line…

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

A:

Q: Find an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

A:

Q: y = √√2x, x=2 yaxis 17 x-axis

A: Given that y= √(2x) and x= 2 and we find equation of tangent line and normal line at the given…

Q: Find the equations of the tangent lines of the curve y = that have slope 1+ 2r

A: Given data:   The expression for the curev is: y=2x1+2x. The given slope of the curve is: m=2/9.…

Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 3x2 – x³, (1, 2) y =

A:

Q: Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent line.

A: Solution :   Given that                      y=x3+x   and The slope is equal to 4 i.e m= dydx=4

Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = x* + 8x2 – x, (1, 8) y =

A: Given: y=x4+8x2-xPoint (1,8)

Q: Find an equation of the tangent line and normal line to the curve at the given point. y = x* – 2e*,…

A: Given curve is y=x4-2ex. To find the equation of the tangent line and normal line to the curve at…

Q: Find the equations of the tangent line and normal line to the curve y = (2 + x)e¬* at the given…

A: We will find out the required solution.