Find y' if x³+y³ = 6xy . Find the tangent to the folium of Descartes x³ + y³ = 6xy at the point (3,3) . At what point on the curve of x³ + y³ = 6xy is the tangent line horizontal?

Q: Find the equation of tangent and normal to the curve y= 3x2 - 4x+5 at (– 1, 12)

A: Given the equation y=3x2−4x+5

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: 5. Find the slope of the tangent line to the curve y + 2yx3 - x-5y3 = 0 at (0, 5). %3D

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Q: Find the slope of the tangent to the curve y x3 at (6, 3) xy + 6 dx (Enter undef if the slope is not…

A: Given that: y2=x3xy+6 at (6, 3)

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 the tangent line to the curve atthe given point.   y =  Sin (2 In x) , (1 ,0)

A: Given curve,  y = sin(2 ln(x))  We have to find the tangent line to the curve at the point (1, 0)

Q: Find the equation of tangent and normal to the curve x sin 2y = y cos 2x at 4 2

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

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Q: as y y = f(x) (10, 4) Tangent line (4, 2) ive your answer to three decimal places.)

A: G

Q: What is the slope of the tangent line to the curve y=3cos2x  at x=π/4 ?

A: First find out derivative then put the value

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

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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: I Find tee e avation of tangent line of fcx) = X+) at X=2 X-3

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Q: Find the equation of the tangent line to y = ecos(x'+x) at x = 0. %3D 2x Chain Rede.

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 9 where the tangent line is horizontal. (x, y)…

A: According to the given information it is required to calculate the points on the curve where tangent…

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

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Q: Find the equation of the tangent line to the curve y = ex/x + ex at (0, 1).

A: Given that curve  y = exx+ex at (0, 1). The slope of tangent any point on the curve is given by its…

Q: Estimate the slope of the tangent line to y=x^2 at the point (1,1). Verify your answer analytically.…

A: Since multiple questions are asked, we will solve the question that the graph attached is related…

Q: Compute y / x for the interval [2, 5], where y = 4x - 9. What is the slope of the tangent line at x…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(z + v²) = 25(z² - y³) at the point…

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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 slope of the tangent line to the curve 3x + læy + 3y° = - 199 %3D at the point (1, – 4).

A: we know that the slope of the tangent to the given curve is =dy/dx.

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

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Q: Find the equation (in terms of x and y) of the tangent line to the curve r=4sin2θ at θ=π/3. y=?

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

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

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

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Q: Find the slope of the tangent to the curve at the point specified. 2° + 2xy + y² = 81 at (1, 8)…

A: We can find the slope of the tangent at the indicated point as below.

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: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Find a curve in the xy-plane that passes through the origin and for which the tangent at (x, y) has…

A: Tangent is the line that just touches the curve at a single point. Derivative of the curve at a…

Q: Find the equation of the tangent line to the curve y = 2 In(x - 26) at the point (3,0). %3D y =

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Q: Find the slope of the tangent line to the curve x + xy – y = 23 at the point ( – 3, – 2). -

A: The given function is x2+xy-y3=23 The point is x0,y0=-3,-2

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

A:

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 slope of the tangent line to the curve y = arctan(13x +e) at the point (0, 7/2).

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Q: Compute for the interval [2, 7], where y = 3x - 3. Ay Ax Ду Дх What is the slope of the tangent line…

A: we have y= 3x-3at x=2y=3×2-3 =3at x=7y=3×7-3 =18so,∆y∆x = change in y over the intervalchange in x…

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

A: Equation of tangent line

Q: Show that the tangent line to the curve at y = 3x²+ 6x− 5 the point (−1. −8) is horizontal.

A: To show: That the tangent line to the curve at y=3x2+6x−5 the point -1,-8 is horizontal. Concept…

Q: Find the slope of the tangent to the curve y² In(x) + x<y = 5 at (1, 5).

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Q: x =t - sint y = 1- cost

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Q: tangent

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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: Find the gradient of the tangent line to the curve x² + y =10 at x=1, where y > 0. %3D

A: