Find the equation of the line tangent to the curve x^3 - 3xy + 4x = 2 at x = 1.

Q: Determine the equation of the line that is perpendicular to the tangent line at the curve y = 5x2 –…

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Q: Find the equation of the tangent line to the curve y = 8 ln(x – 63) at the point (4,0). y =

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Q: Find the slope of the tangent line to the curve 4x2 – 2xy – y = 32 at the point (2, – 2).

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Q: What is the slope of the line tangent line to the curve x²y = y2 – 6x when x=2?

A: The given curve is x2y=y2-6x. Substitute x=2 in the above equation and obtain that,…

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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Q: At which point on the curve y = 5+ 2e- 3x is the tangent line parallel to the line 3z-y= 5? Just…

A: NOTE: Refresh your page if you can't see any equations. . the given line is  here coefficient of…

Q: Find the second derivative of the funcion. y%3D

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Q: You are asked to find the equation of a horizontal tangent line to the curve y=3x3+2ex+2x. Use…

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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: At what point on the curve y = 9 + 2ex − 6xis the tangent line parallel to the line 6x − y = 4?

A: The curve equation is y=9+2ex-6 To find point on curve tangent to curve and parallel to line 6x-y=4

Q: Find the points on the curve y = 2x3 + 3x² – 12x + 5 where the tangent line is horizontal. (smaller…

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Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

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Q: What is the slope of the tangent line to the graph of x^2-xy+3y^2-2x+4y=3 at (3,0)?

A: The objective is to find the slope of the tangent line to the graph of x^2-xy+3y^2-2x+4y=3 at (3,0).…

Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

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Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

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: Find the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: Estimate the slope of the tangent to the curve y 0.25x at x = 2 algebraically by finding the slope…

A: We have to find the slope of the tangent to the curve at x=2 by finding the slope of the secant…

Q: Find an equation for the tangent line y= 4x-sinx when x=0

A: y=m(x) +c where m is slope and c is Y-intercept.

Q: find the equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: Find the points on the curve y = 2x3 + 3x2 12x + 8 where the tangent line is horizontal. (х, у) %3…

A: Given curve is : y = 2x3+3x2-12x+8 Tangent line is horizontal at points where slope=0

Q: where x = 6.

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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 the equation of the tangent line to the curve y = 8/x2 + x + 2 at x = 2.

A: Given, y=8x2+x+2,  at x=2 slope of curve at x=2 is dydx dydxx=2=-82x+1x2+x+22dydx=-4064=-5/8 at x=2,…

Q: Find the equation of the tangent line to the curve y = 4r- 3r through the point r= 2 using the…

A: Given curvey=4x-3x2

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: What is the slope of the tangent line to the curve y= -sin 3x at x=

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Q: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

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Q: Find the slope of the tangent line to the curve - 2x2 + 2xy – 4y³ = 0 at the point (1, – 1). -

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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: The slope of the tangent line to the curve y = 3 3 at the point (5,2) is: X -

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Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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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: Determine the equation of the line tangent to the curve square root(xy)=x-2y  at point (4,1)

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Q: Find where the tangent line to y= (5x-1)2 (4x+7)3 is horizontel.

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

A: The equation of the curve is y = 4x − 3x2 The coordinates of the point of contact is 2, -4

Q: Find an equation of the tangent line to the curve y = 2x2 + 3 that is parallel to the line 8x – y+ 3…

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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 equation of the line tangent to the curve f(x) = 11xe" at the point (0, 0). Round decimals…

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

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Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

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Q: Find the points on the curve y = 2x3 + 3x² – 12x + 5 where the tangent line is horizontal. (х, у) )…

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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 - 4x² - 2xy + 3y³ = | at the point (3, 1). - 33

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Q: Find the tangent line at (-1,3) to the curve y* – 2x²y' – 27=0.

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