The slope of the tangent line to the curve y - f(x) is perpendicular to the line3x-2y -S . The slope of the tangent line is A. 3 B. -2 C. 3/2 D. -2/3

Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the…

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is…

Q: 3. Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: Given  function

Q: find y' and the slope of the tangent line to the graph of  (3x - 2y)^7 = 2y^2 - 9 at the point…

A: The given equation is- 3x-2y7=2y2-9 Since, y' =dydx is the slope of the tangent line, Then…

Q: y = 3x?+1 ; (0,1)

A:

Q: Find an equation of the tangent line to the graph of y = 6x at the origin and at the point (- 1, -…

A: To find the tangent line to the curve y=6xx2+1 at origin and at (-1,-3).

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: y=x2-2x-3

Q: Find an equation of the tangent line to the curve at the given point. y = x* + 9x? - x, (1, 9) %3=

A:

Q: For what value of x does the tangent line to the curve y=7+3e^x−6x  is parallel to the line 8x−8y=9?

A:

Q: For what point on the curve of y=5x^2+9x is the slope of a tangent line equal to -21?

A:

Q: find the slope of the tangent to the curve y^2+X^3+4=0 at (-2,2)

A:

Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B)…

A:

Q: 2. Find the slope of the tangent line to the curve y = 4x² – 2 at x= 1. What is the equation of the…

A: The given curve is y=4x2-2. At x=1, y=412-2=2. Thus, the graph is passing through 1, 2. The slope of…

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: Slope is derivative of y with respect to x. And equation of tangent is (y-y1) =m(x-x1).

Q: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

A:

Q: Find an equation of the tangent line to the curve at the given point.y=8x-6x^(2), P(4,-8)

A: y=8x-6x^(2), P(4,-8)Let the equation of the tangent: y=mx+cSlope of the tangent =m =  dy/dx.

Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

A:

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

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Q: 2. At what point is -3 the slope of the tangent line to the curve y x+3x -7.

A:

Q: 17. Given the curve y = 3x³ – 4x² +7, find the slope of the tangent line at the point when x= 3.

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2),…

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Q: Find an equation for the tangent to the curve at the given point. y=x2-x. (-3,12)

A:

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

A: to find the slope differentiate  the y with respect to x.

Q: Find the slope of the tangent to the curve y=4/(5-4x) at x1=9

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Q: The equation of the tangent line to the curve y = x2 – 4x at the point where the curve crosses the…

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Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: (B): Find an equation for the tangent and normal Line to the curve (y 2x +4x-3) at (x1)

A:

Q: Find an equation of the tangent line to the curve at the given point. x2 (4, 16) y

A: Given ex2-y=x2y To find equation of tangent at the point 4,16

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Topic = Differential equation Correct option = d

Q: Show that the tangent line to the curve y = x3 at any point (a, a3) meets the curve again at a point…

A: Proof: The given curve is y=x3. Obtain the derivative of the function as follows: dydx=ddxx3…

Q: 4. Find the equation of the curve for which y""= 2x³. The slope of the inflectional tangent at (-1,…

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Q: Find an equation of the curve whose tangent line has a slope ofƒ′(x) = x2/3,given that the point (1,…

A: Given: f'x=dydx=x23 For finding equation of curve, we will use variable separable method So,…

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we have to find the slope m and also the equation of the tangent

Q: 5x What is the slope of the tangent line to the curve y = at the point (2,2)? x2+1

A: Find the slope of the tangent line.

Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

A:

Q: Find an equation of the tangent line to the curve at the given point. y =√(4-77x) ,  (−1, 9)

A: We have to find tangent

Q: What is the slope of the tangent line that touches the graph of In(y)+e2x-=3y – 4x at the point (A 1…

A: The solution are next step

Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the…

A:

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

A:

Q: Find the equation of the tangent line to the curve y = (1+2x)² at the point (3, 49).

A:

Q: Find the slope of the tangent line to the curve y 5x at the point (-7, 245). A 70 25 -7 -70 E) 7

A: As we know that; The slope of the tangent line to the curve at a given point Px,y is equal to the…

Q: a) Find the slope of the tangent to the curve y = 3+ 4x2 – 2x³ at the point where x = a.

A: We are suppose to solve the problem by application of derivative.   NOTE :: As per our guidelines we…

Q: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

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

Q: Find an equation of the tangent line to the curve at the given point. y = √ x,  (81, 9)

A: Given: y=x, (81, 9)

Q: Find an equation of the tangent line to the curve at the given point. y = V3 - 33x, (-1,6) y =

A:

Q: Find an equation of the tangent line to the graph of Y=x(x+1)^5 at the point (2,486)

A:

Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3,22)

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Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…