Find (a) the equation of the secant line through the points where x has the given values, and (b) the equation of the tangent line when x has the first value. ƒ(x) = 3x2 - 5x + 7; x = 2, x = 4

Q: At what points on the graph of ƒ(x) = x3 + 12x2 + 55x + 14 is the slope of the tangent line 7?

A: We have given function fx=x3+12x2+55x+14 Slope of function at any point given by derivative of…

Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

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Q: Find the equation of the line tangent to the graph of y = (x3 - 1)(x2 + 1)4 at the point where x =…

A: The Slope of the line at any point is given by the derivative of the function at that particular…

Q: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Find an equation of the tangent line to the graph at the given point. x^2y^2-9x^2-4y^2=0, 4,2sqrt3

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Q: Find an equation of the tangent line at x = a. y = x2 - 4; a = -3

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Q: Find all points on the graph of ƒ(x) = 9x2 - 8x + 4 where the slope of the tangent line is 0.

A: ƒ(x) = 9x2 - 8x + 4

Q: The product of all the values of x for which the tangent lines to the graph of y= are parallel to…

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Q: Find the slope-intercept equation of the tangent line to f (x) = 3x² – 4x + 5 at the point (1, 4).

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x2 - 12x + 1, (5, 16)

A: Solve by eq

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

A: Use derivative for finding the equation of tangent line.

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: 8. Find the slope-intercept equation of the tangent line to f(x) = 3x² – 4x + 5 at the point (1, 4).…

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line.…

A: Given equation of a graph is 4x2+y2-8x+4y+4=0 Since we need to find the points where the tangent to…

Q: Find the equation of the tangent line to the graph of x4y16=1 at the point (81,1/3) and at the…

A: We use slope point form to equation of tangent line.

Q: Find the equation of the tangent line to the graph of y = 2x - (4 / √x) at the point (4, 6).

A: Given,            y = 2x - 4x and Point is 4, 6

Q: Find an equation of the tangent line to the graph of Y = e2x-3 at the point (3/2,1).

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Q: 3. Find the equation of the tangent line to the graph of x y + 7xy = 30 at the point (-5, 2). %3|

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Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: Find the equation of the tangent line to the curve x2 + 4y2 = 8 and parallel to the line x+2y=8.

A: Given curve is x2+4y2=8. To find equation of tangent line to the given curve which is parallel to…

Q: Find the equation of the tangent line to the graph of 3x- xy + y - 9 = 0 at the point (2, -3).

A: The graph of 3x3-x2y+y3-9=0 at the point 2,-3

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

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Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents…

A: To determine the x-intercept of the curve and slope of the tangent at the intercept.

Q: 4. Find the equation for the line tangent to a. y= x²- 3 x + 5 at the point (2, 3)

A:

Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent…

Q: Find the equation of the tangent line at the given point on each curve. x2 + y2 = 25; (-3, 4)

A: Find the equation of the tangent line at the given point on each curve. x2+y2=25  ;   (-3,4)

Q: The graph of f(x)=x^3-3x^2-3x+10 has a slope of 6 at two points. Find the coordinates of the points…

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Q: At what values of x on the curve y= 2x³+13x²+5x+9 does its tangent lines pass through the origin? In…

A: Given equation of curve: y=2x3+13x2+5x+9……1

Q: 9. Find the points on the graph y = х-2 7x - where the slope of the tangent line is parallel to 28х…

A: Given-  Consider the graph y=7xx-2. To Find- The points on the above graph , where the slope of the…

Q: Find an equation of the tangent line to the curve at the given point. y = 3x - 14x + 1, (5, 6)

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

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Q: Find an equation of the tangent line to the graph at the given point. x2y2 − 9x2 − 4y2 = 0,…

A: Given that, x2y2 - 9x2 - 4y2 = 0 Points are :  (-4, 23) We have to find the tangant line to the…

Q: Find the points on the graph of x5/2 + y5/2= 1 where the slope of the tangent line is -1.

A: Topic:- application of derivatives

Q: Determine the equation of the tangent to the graph of y = x³ - 3x² + x+ 3 at the point x = -1

A:

Q: If the curve is defined by y= x⁴ - 8x³ + 22x²-24x+9, then what are the value/s of x for which the…

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

A:

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 the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangent…

A: To find the x-intercept we plug y=0

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 equation of the tangent line to the graph of y = x3 + 3x2 + 2 at its point of inflection

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Q: If f(x) =3x2 -x3 ,find f ' (1) and use it to find an equation of the tangent line to the curve y=…

A: Our Aim is to write an equation of tangent line to the curve y=3x2-x3 -(i) at the point (1,2).

Q: 1) Find the slope of the line tangent to the graph of y=x²+1at(2, 5).

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Q: Find the equation of the tangent line at the given point on each curve.: x2y3 = 8; (-1, 2)

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Q: Find the equation of the tangent line to the graph of the given equation at the indicated point.…

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

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: Find the equation of the line that is perpendicular to the tangent line to f(x) = x4+1 at x = 2 and…

A: Answer and explanation is given below