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

Q: 8. Find the equation of the tangent and normal to the curve y = x3 3x + 1 at x = -1. [4] -

A: We have to find the eqution of tangent and normal of given curve y

Q: Find the slope of the tangent to the curve y = 1//x at the point where x = a.

A: Since you have asked multiple questions in single request.so We will be answering only first…

Q: Find the equation of the tangent line to the curve y = x* + 3e" at the point (0, 3). y =

A: Equation of tangent to a function fx at point a,b is defined as y-b = m x-a where m is the slope of…

Q: Find the equation of the tangent line to the curve y = x Vx +5 at the point (2,6).

A:

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: Find the slope of the tangent to the curve x2 + 8xy + y = 10| at (1, 1)|

A: The equation of the given curve, x2+8xy+y2=10

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. Find the equation of the tangent line to the curve y = x³ at x=1.

A:

Q: Find an equation of the tangent line to the curve y = 7tan(5x) at the point (0, 1)

A: According to Bartleby only first question can be solved at a time Please find the solution

Q: d. Find the slope of the tangent line to the graph of x +y + xy 3 at (1, 1).

A:

Q: Y = ( ***)3 x+1 at x = 3 x-1

A: the equation of the given curve is: y=x+1x-13 the given point is x=3 we have to find the equation of…

Q: Find the slope of the tangent line to the curve. √(3x + y) + √(2xy) = √7 + √4 at the point (2,1).

A: Given: 3x+y+2xy=7+4 we know that slopem of tangent at point2,1 is given by m=dydx|2,1 so, finding…

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

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

A:

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: define the equation of the tangent line to the curve x^2-3xy+y^2-4x+2y+1=0 at the point (1,-1)

A: Given- The curve is x2-3xy+y2-4x+2y+1=0. To Find- The equation of the tangent line to the above…

Q: Find the equation of the tangent line to the curve y=x^4+2e^x at the point (0,2).

A: Consider the given curve y=x^4+2e^x

Q: Find the slope of the tangent line to the curve −x^2−3xy+3y^3=−7 at the point (−1,−1)

A:

Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given: y=2x+1x+2, 1,1 for finding equation of tangent, we need to find slope of tangent  we know…

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

A:

Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

A:

Q: ind the slope of the tangent line to the curve y = V4x – 3 at the point (13, 7).

A:

Q: Find the slope of the tangent line to the curve 3x? + xy – 4y³ = 6 at the point (1, – 1).

A:

Q: Find the slope of the tangent to the curve at y^2 =[x^3]/[xy+6] at (2,1)

A:

Q: Find the slope of the tangent to the curve y= 2 sin'x at x-

A:

Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y = 192x*; x=1

A: Given eqn : 3y3+xy-y=192x4  ,  x=1 So when x =1 3y3+xy-y=192x4=3y3+y-y=192= y3 = 64= y = 4 Now find…

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: Find the equation of a tangent line to the curve y=xe2x at the point where x=1

A: We need to find the equation of a tangent line to the curve y=xe2x at the point where x=1. Now,…

Q: Find the slope of the tangent line to the curve 4.x + xy – 4y° = 37 | at the point (3, – 1).

A: Formulae: 1.d/dx(f(x).g(x))= f'(x) . g(x) + g'(x). f(x) 2. Slope of any curve, f(x) =m= d/dx{f(X)}

Q: Find the slope of the tangent line to the curve (r² + y² – 1)3 – r²y³ = 0 at the point (–1,1).

A:

Q: 2. At which points on the curve y = 1+ 60x – 2x does the tangent line have the largest slope?

A: Solution ) y = 1+60x3- 2x5 First derivative with respect to  x y' =0+ 60 ×3 × x2 - 2×5 x4 y' = 180x2…

Q: Find the equation of the tangent line to the curve  y^4(1-x)+xy=2 at x = 1

A:

Q: Let y(x) = 2. x+2 Estimate the slope of the tangent line of y(x) at the point a = 0:

A: The given function is: y(x)=1x+2

Q: Find the slope of the tangent to the curve y = xcos 3x at x=

A:

Q: Find all the points on the curve x^2y^2+xy=2 where the slope of the tangent line is equal to -1

A:

Q: Find the slope of the tangent to the curve x° + 4xy+ y² = 13 at (1, 2). The slope is (Enter undef if…

A:

Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

A:

Q: x+2 3. y = ( X-2 at x = 1

A:

Q: Which is the equation of the tangent line to the curve x* +xy = 4 + y at the point (4,6)?

A:

Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1

A: Given: x4y-xy3=-2 and the points are (-1,-1)

Q: find the slope of the tangent line to the curve at the given point. x^2 + 4xy + y^2 = 13, (2,1)

A:

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

A:

Q: . Find the equation of the tangent line to the curve y =1 – 2x + x² at (1, 2).

A:

Q: Find the point where the tangent line to y = a" at a = 0.6 crosses the x-axis. x-intercept =

A: X- intercept is x=0.45 See the calculation below

Q: 2. Find the slope of the tangent line to the curve y? + yx² + x² – 3y? = 0 at the point (0, 3).

A:

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

A:

Q: Find the equation of the tangent line at the given value of x on the curve y° + xy° - 4 = x + 4y“;…

A:

Q: At what point of the curve xy = (1 – x - y)2 is the tangent line parallel to the x-axis?

A: Given , xy=(1-x-y)2 . We need to find the point at which the tangent is parallel to x axis.…

Q: 2. Find the slope of the tangent line to the curves: (a) xy + y³ = 12 at the point (2, 2), (b) 3x4/3…

A: This question can be solved using the concept of tangent and normal using application of…