Find the slope of the tangent to the curve x+ xy + y = 7 at (1, 2). The slope is (Enter undef if the slope is not defined at this point.)

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

A: As we know that: The first derivative of the function at a point is equal to the slope of the…

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: 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 at thegiven point.

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Q: Find the slope of the tangent to the curve at the point specified. x² +y² = 9 at (0, 3) The slope is

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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: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

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Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if…

A: Topic = Derivative

Q: What is the slope of the tangent line to the curve xy +y– 1=0 at the point (0, 1)? -1 -3 -2 1

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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 at the point specified. y = excos2 x, x = π/4

A: Given curve is y=excos2x. To find the equation of the tangent line at the point x=π4. Solution: The…

Q: 4. x-y = 2 at (2, 2)

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Q: The Slope of the tangent line to the at the point C7,3) is: Curve y=

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Q: What is the slope of the tangent line to the curve 3x^3y^2−2y^3=−4 at the point (1,2)

A: To find the slope of the tangent line we need y' 3x3y2−2y3=−49x2y2+3x3(2y)y' - 6y2y'=0 [product…

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: Show that the curve y = 7e* + 3x + 2x³ has no tangent line with slope 2.

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Q: Find the point where the tangent line to y = x* at x 0.3 crosses the x-axis. x-intercept =

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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: Show that the curve of y = 2e2z + 3r + 2r3 has no tangent line with slope 2.

A: The given curve is y=2e2x+3x+2x3. Obtain first derivative as follows. dydx=ddx2e2x+3x+2x3=4e2x+3+6x2

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: 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 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: Determine the slope of the tangent line to the graph of x2 + 4y2 = 4 at the point (√2, −1/√2).

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

A: We first find dy/dx using implicit differentiation

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

A: Here, to find the equation of the curve of the form y=f(x) with x-intercept 2. That is curve passes…

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 the slope of the tangent line to the curve x²-3y=4y³ at x=-1

A: Solution: Consider the given equation of the curve is: x2 -3y = 4y3or4y3 = x2  -3y Differentiating…

Q: Find the slope of the tangent line to the curve V3x+y+v2ry = Vi+v4 at the point (2, 1). The slope is

A: To find the slope we need dy/dx

Q: Find the point where the tangent line to y = x² at x 0.7 crosses the x-axis.

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Q: The Tangent Line to a y= f(x) at x = c has slope ?

A: Recall the below fact:

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 slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

A: Simply take the derivative of the given equation and substitute the given point.

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: 2. Find the coordinates of the points on the curve y = r' - x² – x +1 where the tangent line is…

A: Solution:- step-by-step solution of above  question is given below.. The given curve is  y=x3-x2-x+1…

Q: Find the slope of the tangent to the curve r+ 2xy + y = 16 at (1, 3). The slope is VEnter undof if…

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

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

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

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

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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: What is the slope of the tangent line to the curve x2 – xy + y² = 1 at (1, 1)? %3| -1 1 1

A: Given curvex2-xy+y2=1differentiate…

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

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Q: Show that the curve y = 6 x 3 + 5x -3            has no tangent line with slope 4.

A: y=6x3+5x-3 has no tangent line with slope 4

Q: What is the slope of the tangent line to the graph of y = at x =1 %3D x+1

A: Given expression of the curve, y=e-xx+1

Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1.

A: Let's find.

Q: The slope of the tangent line to the graph of xy = In(x² + y² ) at the point (1,0) is :Select one…

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