Find an equation of the form y = f(x) for a curve with r-intercept 2 whose tangent line at any point (z, y) has slope z'e ".

Q: Find equations of the tangent line and normal line to the given curve at the specified point. 3x…

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Q: Find equations of the tangent line and normal line to the curve at the given point. yy = √xx xx+1 at…

A: According to the given information, it is required to determine the equation of tangent and normal…

Q: 19. Does the line that is tangent to the curve y = x3 at the point (1, 1) intersect the curve at any…

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

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Q: Find the equation of the tangent line to the curve y = √-4 at the point (5,1). Oy=-1 Oy=-1 Oy=2x-2

A: Given y=x-4       point (5,1)To find equation of tangent line:

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 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: Find an equation of the form y = f(x) for a curve with æ-intercept 0 whose tangent line at any point…

A: We have to find

Q: Find equation of the tangent line to the curve y = v2x + 1 at the point (4,3).

A: Given:    y = √(2x+1)  Point (4,3)

Q: Find the equation of the tangent line to the curve y³+2xy+x³ = 0 at (-1, –1).

A:

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

A:

Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Find the equation of the tangent plane to the graph of g(x, y) = ln(6x² – 3y²) at the point (1, 1).…

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Q: Find the equation of the tangent line at the given point on the curve. 3y² - Vx = 44, (16,4)

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

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

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Q: Find an equation of the form y = f(r) for a curve with z-intercept 2 whose tangent line at any point…

A: we have to find an equation of the form y=f(x) for a curve with x-intercept 2 whose tangent line at…

Q: Find an equation of the tangent line to the curve at the given point. у %3D sec(x), (л/3, 2) 2nv3 y…

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Q: Find the equation of the tangent line to the curve y x at the point 1, 4

A: We can find the equation of tangent line to the curve as below

Q: Find an equation of the tangent line to the curve at thegiven point  y = ln ( x 2- 3x + 1 )       ,…

A: Given,y = ln (x2-3x+1)slope of tangent line is equal to the first derivative of curve at given point

Q: Find an equation of the line tangent to the curve defined by x + 3xy+ y = 5 at the point (1, 1).

A: Given  Curve ia x3 + 3xy + y2 =5 at the point(1,1) Find equation of tangent.

Q: Find an equation of the tangent line to the curve at thegiven point.   y = ex   / x  , (1, e)

A: Given: y=exx,1,e. for finding tangent at given point we need slope of tangent at that point  so,…

Q: Find an equation of the tangent line to the curve at the given point    y= xe^-x^2 , (0,0)

A: Given,

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

A: To find the slope of the tangent line to the given curve at the given point

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx

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: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

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Q: What is the equation of the tangent line to the curve y= In(x“ + 1) at x=1?

A:

Q: Find an equation of the tangent line to the curve y Inx" – x² at the point where x = 1.

A: The given curve is y=lnxx-x2 at the point where x=1. Find the equation of tangent.

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 equation of the tangent line at the given point on curve. x2 + y2 = 25; (-3, 4)

A: Given: x2 + y2 = 25; (-3, 4)

Q: Find the equation of the tangent line and normal line to the curve: 2. x2 + 2xy = y3 at the point…

A: Firstly, we find  dy/dx by differentiating both sides with respect to x

Q: Find the equation of the tangent line to the curve y=x4 at the point (−1,1).

A:

Q: Find the equation of the tangent line on the curve defined by 2xy- y² =1 at x = 1. A y=x-1 B y=1 ©…

A:

Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: The slope of the tangent to y = 2 – x2 at the point (1,1) is

A:

Q: Find the equation in terms of x and y of the tangent line to the curve r= 4sin 5θ and θ =π/3.

A: Given: r=4sin5θ  and θ=π3

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

A:

Q: Find the equation of a curve in the xy-plane that passes through (1,3) and -6x(2+y) V3 – 3x2 whose…

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: Find an equation of the tangent line to the curve at the given point. y = 4*, (0, 1)

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Q: The slope of the tangent line to √x+y+√√xy = 2y at the point (2,2) is:

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

A:

Q: Find the equation of the tangent line to the curve y=x-6cos(x) at the point (0,-6)

A: We have to find equation of tangent line to the curve y=x-6cos(x) at the point (0,-6)  Now first we…

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

A:

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

A:

Q: 2. Find the curve that passes through the point (1, 3) and whose tangent line at (x, y) has slope

A: Solve for the curve

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: The slope of the tangent line to the curve 2xy + T cos y = 2n at point (1,“) is:

A: The given equation is 2xy+π cos y=2π and the point is 1, π2. Evaluate the slope  y' using implicit…