Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

Q: Find an equation for the tangent line to the level curve 3x2y – sin y + 2x = 2 at the point (1,0).…

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Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: We have  y=ax2+bx+c        at (2,28)           and               y=4x

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (x + y ²)² = 25 (x² – y²) at the…

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Q: Determine the equation of tangent line to the curve of the equation 3xy^2-x^2y=5x-3 at (1,1)

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Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 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 line tangent to the curve x + y3 = 4 at the point (3/3, –1).

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Q: Find the equation of the tangent line to the curve y= (1+2x)2 at the point (2, 25). y = %3D

A: This question is based on application of Derivative.

Q: Find an equation of tangent line at the point (−1, 1) to the curve x^4y^2 + 1 = x^2 + y^3

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the slope of the tangent line to the curve 3 - 2x² + xy + y² I at the point (4, 1). - 27

A: This question is related to slope of line, we will solve it using given information.

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 y = 5 – 2x – 3x² at (1,0). y =

A: We will find the equation of the tangent line to the curve at the given point as following.

Q: Find an equation of the line tangent to the curve defined by " + 5xy +y = 68 point (2, 2) at the

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Q: The slope of the tangent line to the curve y = 4/x at the point (3, 4/3) is: Must be written in y =…

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Q: Find equations of the tangent line and normal line to the curve y = 5x-32T at = 4. %3D

A: This question is based on straight line.

Q: Find an equation of the tangent to the curve f(x) = /x+ 7 that has slope %3D 4

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Q: Find the equation of the tangent line to the curve x4+y4=2 at the point (1,1)

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

A: Topic:- application of derivatives

Q: Find the equation of the tangent line to the curve y = rVI at the point (4, 8). %3D

A: We have to find the equation of tangent

Q: The slope of the tangent line to the curve x^3 + y^3 = 6xy at the point (3,3) is

A:

Q: The slope of the tangent line to the curve y 4 at the point (4, 1) is: - The equation of this…

A: The slope of tangent to any curve is determined by the derivative . So, slope of the tangent…

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

A:

Q: Find the equation of a that has a y" = 4 if it has a slope of of 3 Curve Second derivative %3D at…

A: equation of the curve  is given below...

Q: Find equations of the tangent and normal line to the curve y = 3Vx – 2Vx4 at (1,1) |

A: NOTE: Refresh your page if you can't see any equations. . to find the slope take the derivative

Q: Find the equation of tangent line at the specified point  x ²/³ - y ²/³- y =1 ;(1, -1)

A: Given curve is x23-y23-y=1. To find the equation of tangent line at the point 1,-1. Solution: First…

Q: Find the equation of the tangent line to the curve y=lnx2 that is parallel to the straight line y=x.

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

A: Given : y= x √(x²+5)  To find tangent line equation, we need to find differentiation of this…

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

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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 an equation of the tangent line to the curve  y = xsqrtx  that is parallel to the line  y = 6 +…

A: Given data: *The equation of the curve is y=x×x *The tangent line is parallel to the curve y=6+3x…

Q: Find all points on the curve 3x + 6y² = 36 where the tangent line also passes through the point (10,…

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Q: Find the equation of tangent line of function ²+ arctan y = y-1 at point(-t, 1).

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Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

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Q: Find the tangent line at (-1,3) to the curve y* – 2x*y' - 27=0.

A: Given, The equation of the curve    y4 -2x2y3 -27 = 0  We have to find the  tangent line at -1, 3 .…

Q: Find the tangent line to the curve y = 2x - x2 at (2,0)

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula…

Q: Find the x-coordinate of the point/s on the curve y = 2x – 3x² – 12x + 20 where the tangent line is…

A: The slope of the tangent line to the curve at point P(x,y) is given by,…

Q: Find an equation of the tangent line passing through the curve defined by y%3esinxcosx at x=,

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Q: i.) Find the tquation of the tangent line to the curve y= 2+4x- x° at the point P(-1,-1)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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 the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: The slope of the tangent line to a curve at any point is (5x² - y) ex+y If the curve passes thru…

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Q: Find Oun equation of the tangent Lime to the curve given by - equation x³_ 3y - xy² = - 3x at point…

A: The tangent is the line that just touches the function at a single point. In this problem, the…

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

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Q: Find the slope of the tangent line to the curve given by y^4 = y^2 - x^2 at the point (0,1)

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Q: Find the slope of the tangent line to the curve defined by 6x5 + 8xy +y2 = -13 at (-1,1). The slope…

A: The slope of tangent line to the curve f(x,y)=0 at (a,b) is the value of dy/dx at (a,b)

Q: Find an equation for the tangent line to the curve + xy - y = 1 at the point (2, 3). %3D

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Q: Find the tangent line to the curve ry = a +y+1 at (3,2)

A: Given data: The expression for the given curve is xy=x+y+1. The given point is (a,b)=(3,2).…

Q: Calculate the gradient of the tangent line to the curve y3 - x3 -xy = 1at the point (-1,0).

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: