24. At what point(s) on the curve (y - 2)² = x is the tangent line vertical? The tangent line is never vertical. (0, 2) O (2, 0) O (16, -?)

Q: 3 Find the slope of the tangent line to x/y +yVx = 10 at (1,8).

A: given: x3y + y3x= 10differentiate given equation with respect to xx3 ddxy + y ddx x3+ y3ddxx+ x ddx…

Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3

A: The equation of tangent line can be found by using the formula,y-y1=mx-x1Where, m=dydxx1

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

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: At what point on the curve y= 1+ 3e* – 3x is the tangent line parallel to the line 2x - y = 5?

A: At what point on the curve  y= 1+3ex -3x is the tengent line prallal to the line 2x -y =5 . Here i…

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

A:

Q: 6. Find the equation of the tangent line to x² + 3xy + y² = 5 at the point (1, –4).

A: Given x2+3xy+y2=5       (1,-4)

Q: 2. Find the equation of the tangent line to the curve y = x² – 2x - 3 that is parallel to the line x…

A: Given: The tangent line to the curve y=x2-2x-3 is parallel to the line x+y=1. To Find: The equation…

Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

A:

Q: 4. Find the equation of the tangent line to the curve y = 5x– 6/x at the point (1, –1).

A:

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

A: A detailed solution is given below     (As per our guidelines, we have to solve only one question)

Q: At what point on the curve  y = 6 + 2ex − 3x  is the tangent line parallel to the line  3x − y =…

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: At what exact point on the curve  y = 8 + 2ex − 3x  is the tangent line parallel to the line  3x −…

A: The given curve is y=8+2ex-3x and the line is 3x-y=9. For the tangent line to be parallel to the…

Q: 5. Write the equation of the tangent line to the curve of y = e³x + cos(-x) at the point (0,2).

A:

Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

A:

Q: 3. Find the slope of the tangent line to curve x=2sin2t, y = cos4t when t=-

A:

Q: 18- What is equation of the tangent line of ƒ(x)=x³- 2x² - 1 at the point x = 2 ? y=-2x+9 1903…

A:

Q: 5. Find the equation of the tangent line for: x = vt + 9, y= at (4,-)

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

Q: What is the slope of the tangent line to the curve 3x^3y^2−2y^3=−4 at the point (1,2)

A: To find the slope of the tangent line we need y' 3x3y2−2y3=−49x2y2+3x3(2y)y' - 6y2y'=0 [product…

Q: Show that the tangent lines to the graph of y = (ex - e-x) / (ex + e-x) atx = 1 and x = -1 are…

A: Here we have to show that the tangent lines to the graph of y=ex-e-xex+e-x at  x=1 and x=-1 are…

Q: 9. Find equation of the tangent line to the graph of x* +y+xy' = 3 %3D at the point (1,-2)

A:

Q: 3) Find the equation of the tangent line to the curve 6y³ – xy² + cos (xy) = 7 - at the point (…

A:

Q: Find the slope of the tangent to the curve x+ xy + y = 7 at (1, 2). The slope is (Enter undef if the…

A: Find the slope of the tangent line using implicit deffentiation

Q: 3. Find the equation of the tangent line to the curve x'y+y°x= 30 at point (1,3).

A: Solve the given problem.

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

A:

Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

A:

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

A:

Q: What is the equation of the line tangent to curve defined by x + 4y² = 17 at the point (1, -2)?…

A: equation of line tangent

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

A:

Q: The equation of the tangent line to the curve: y + 5 = 2x at x = 5.

A:

Q: 4. Find an equation of the tangent line to the curve x – 1 | at the point (3, 2). ||

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

A:

Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

A: To find the slope of the tangent line to the curve, y=4x, at the point 9, 49.The  equation of this…

Q: 2) Find the equation of the tangent line in slope intercept form to the curve x² + 4xy + y2 = 13 at…

A:

Q: At what point on the curve  y = 4 + 2ex − 4x is the tangent line parallel to the line  4x − y = 9?…

A: Given, y=4+2ex-4x First, find the slope of tangent line parallel to the line 4x-y=9 Find the point…

Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: 20. Locate the points on the curve xy (1 - x- y)2 where the tangents lines parallel to the x- axis.

A:

Q: At what point on the curve y = 4 + 2e* – 4x is the tangent line parallel to the line 4x – y = 5? (x,…

A: Given: y=4+2ex-4x   and 4x-y=5

Q: What is the value of the slope of the tangent line to the curve x²+ 4.xy +y² =13 passing through the…

A: topic - slope of a tangent at a point on a curve

Q: -1 Where on the curve Y (1+ x2)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:- y = (1+x2)-1 To find:- Point where tangent line on given have greatest slope

Q: 5- Find the slope of the curve and the tangent line of y = 2x- 3 at (0, 2).

A:

Q: 2 at the Find the equation of the tangent line to the graph y 3 (round the slope to one decimal…

A:

Q: Find the equation of the tangent line to the curve y = 2 In(x³ – 26) at the point (3, 0). y =

A:

Q: 4. Find the equation of the tangent line to the function y = In (x² – 2) when x=3.

A: Question is solved.

Q: A) Determine the equation of the tangent line to the curve xsin(y) – x²cos(y) = 1 at the point (1,4)

A:

Q: 6. Find the equation of the tangent line to the curve 2x3 + xy + y° = 4 at the point (1, 1).

A: Firstly we can find slope .i.e, dydx at (1,1). Then slope intercept form  y-y1=m(x-x1)

Q: 4) Determine the equation of the tangent line to y=3x -5x² +10 at x= 1

A: The given equation is; y = 3x4 - 5x2 + 10  at x = 1