If at every point of a certain curve, the slope of -2x the curve is y the tangent equals

Q: -1 What is the slope of the line tangent to the graph of y at x = -2?

A: Find the derivative of y to obtain the tangent as shown below: y'=ddxtan-1xy'=1x2+1

Q: If ƒ′(x) = 3x + 2, find the slope of the line tangent to the curvey = ƒ(x) at x = 1, 2, and 3.

A: Slope of the tangent line is the derivative of the given function at the given point. Therefore…

Q: At what points on the graph of ƒ(x) = 2x3 - 9x2 - 12x + 5 is the slope of the tangent line 12?

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Q: Find the slope and an equation of the tangent line to the graph of f(x) = 2x + sqrt(x) the point (1,…

A: Given line :

Q: what would the equation of the tangent line to the graph of y=(4x^4-3x-1)/(3-x^2) be at x=1

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Q: If an equation of the tangent line to the curve  y=  f(x) atthe point where a =2 is  y =4x - 5, find…

A: Soultion:The tangent at x =2 will pass through the point (2,f(2), substitute this pointin the given…

Q: Find an equation of the tangent line to the graph of y=-8x/x^2+1 at the origin and at the point…

A: To find the slope of the tangent we find dy/dx We will use the quotient rule

Q: Find an equation of the tangent line to the curve atthe given point. y= In (x3 - 7) , (2 ,0)

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Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) =-6 and f'(2) =5.

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

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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)

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Q: Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

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Q: 1) Find the slope of the tangent lines on the curve y = 6x + 24x -39x - 43 at points | (-5,2) and…

A: Slope of line is given by m = dy/dx = tan θ y = 6x3 + 24x2 - 39x - 43  Differentiating with respect…

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

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Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

Q: Find an equation of the tangent line to the graph of y=g(x) at x=2 if g(2) =-4 and g'(2)=3

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Q: Find the slope of the tangent to the curve. (If an answer is undefined, enter UNDEFINED.) 2x2 - 10x…

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Q: 1 Find the two points on the curve y=- at which the tangents have as slope of -.

A: Given,            The curve y=1x at which the tangents have as slope of -12.To find : The two points…

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 4 if g(4) = −3 and g'(4) = 6.

A: Given that  y=g(x) and g(4)=-3 also g'(4)=6  We have to find the equation of tangent line . Please…

Q: If at every point of a certain curve, the slope of the tangent equals -2x the curve is

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Q: Find the equation of the curve at every point of which, the tangent line has a slope of 2x.

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Q: For what point on the curve of y = 3x - 6x is the slope of a tangent line equal to 0? %3D

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Q: If an equation of the tangent line to the curvey = f(x)at the point where a =2 is y= 4x -5, find…

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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: Determine the equation of the curve at every point of which the tangent line has a slope of 2x.

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Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3…

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Q: Find a point on the graph of the curve y = (x - 3), where the tangent is parallel to the chord…

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Q: find an equation of the tangent line to the graph of the given point. f(×)= √x(x-8), (16,32)

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Q: For what point on the curve of y = 9x - 2x is the slope of a tangent line equal to - 38? The point…

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Q: For what point on the curve of y = 5x + 6x is the slope of a tangent line equal to - 44? %3! The…

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Q: For what point on the curve of y = 7x + 4x is the slope of a tangent line equal to - 66? The point…

A: y = 7x2  +  4x     ..........................................(1) slope of tangent line = -66 slope…

Q: At what point on the graph of ƒ(x) = -5x2 + 4x - 2 is the slope of the tangent line 6?

A: f(x)=-5x2+4x-2 slope = 6

Q: Find an expression for the slope of the tangent line to the graph of the given Function. 1. y= 2+ x³…

A: Our Aim is to find an expression for the slope of the tangent line to the graph of the given…

Q: At which points on the curve  y = 1 + 40x3 − 3x5  does the tangent line have the largest slope?

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Q: If f(x)=x²+ax+b and the slope of tangent at x= -1 is 4 and the curve passes the point (2,4) Find…

A: I have stated the used formula in the solution

Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) = -6 and f'(2)= 5.…

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

A: We have to find equation of tangent line to the graph of function: x+22+y-32=37 at -1, 9 We know…

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

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Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

A: Please see the answer below.

Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y 8, (2, 1) Witch of…

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Q: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

Q: At what points on the graph of ƒ(x) = x3 + 6x2 + 21x + 2 is the slope of the tangent line 9?

A: Given:  f(x)=x3+6x2+21x+2Slope of tangent line=9 To Find: Points where the slope of tangent line is…

Q: Find the exact value of the slope of the tangent line to the graph of −3x2+xy+4y3=102at the point…

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Q: Find an equation of the tangent line to the curve at the given point. у %3 бех + х, (0, 6)

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Q: If an equation of the tangent line to the graph of y f(x) at x = 2 is y = 3x - 11, find f(2) and…

A: NOTE: Refresh your page if you can't see any equations. . the equation of the tangent line to the…

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4x

A: This is a problem of tangent line equation. Slope of the tangent line is equal to the slope of given…

Q: Find an equation of the line tangent to the graph of f(x) = · 1 (2) a) at (1,1); b) at - 3, 27 c) at…

A: To find an equation of the line tangent to the graph:

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)2 = 37, (4,…

A: Given:

Q: True or false, for the graph of y=2^x, the slope of the tangent line is the same as the function…

A: slope of tangent line to a curve y = f(x) is given by          m = dydx