Find the x-coordinate on the graph of f (x) = x3 - 12 x where the tangent is horizontal. (A) 1, - 2 B) -1, 2 1, -1 D 2, -2

Q: Find the tangent line to the function f (x) = x² – 4x + 5 at the point (3,2).

A: To find: The tangent line to function fx=x2-4x+5 at the point 3,2. Formula used: The slope of…

Q: Find all points (x,y) on the graph of f(x) = 2x3 + 1 with tangent lines perpendicular to the line y=…

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Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…

A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2  So we get: g'(-2)= -9   The tangent line…

Q: Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7)

A: We will find out the required equation of tangent.

Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

A:

Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: Find the slopes of the tangent lines to the graph of f(x) = 2e² at the points (0, 2) and (1, 2e).

A: See the attached file to know how to find thesthe of a tangent at the given points.

Q: Find an equation for the tangent line of the graph of f(x)=x^2-1 at (4,15).

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Q: . Find the equation of the tangent to the curve f(x) = 2x + 3x – 2x + 3 at the point where x = 1.

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Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A:

Q: Find an equation of the tangent line to the graph of f at the given point.         f(x) = (x − 4)(x2…

A: Given, The function, f(x) = (x − 4)(x2 + 6x − 1).

Q: a) Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y - 2y³ In…

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Q: Find an equation of the tangent line to the graph of f (z) = -2² + 3z – 2 at the point (2, 0)

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Q: Find all points (x, y) on the graph of ƒ(x) = 3x2 - 4x with tangent lines parallel to the line y =…

A: Since the tangent is parallel to y = 8x + 5. Hence, the slope of the tangent = slope of the line = 8

Q: Find the equation of the tangent line to the graph of the function f (x) = /4x³ + 5 at the point…

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Q: Find equations of the two tangent lines to the graph of f that pass through the indicated point.

A: Given, f(x)=4x-x2…

Q: Find all points (x, y) on the graph of f(x) = x° - 4x + 15x + 10 with tangent lines parallel to the…

A:

Q: 5x f(x)= x²-2

A: We have to find the equation of tangent line of the given function. So first of all we will find…

Q: Find the equation of the tangent line of the function. f(x) = 2(x - 4)2 + at (2,8)

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Q: Find a function f such that f'(x) = x“ and the line 2a - y = 3 is tangent to the graph of f. り

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Q: . Find all points (x, y) on the graph of f(x) = x with tangent lines passing through the point (3,…

A: Tangent line has an equation of line with slope equals to derivative of the function at that point.…

Q: Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y-2y³ In the…

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Q: Find an equation of the tangent line to the graph of f at the point  (2, f(2)). f(x) = 3(6x − 2)4…

A: The given function is f(x) = 3(6x-2)4The slope m is obtained.

Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y =…

A: We find f'(x) first using quotient rule

Q: The equation of the tangent line for the function f(x) = -3 – 6x at r = 6 is %3D

A: The given function is, fx=-3-6x We need to find the equation of the tangent line to the function at…

Q: Find an equation of the tangent line to the graph of f(x)=x^2+3x-7 at the point (1,-3)

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Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

Q: Find equations of the two tangent lines to the graph of f that pass through the indicated point.f(x)…

A: Given: y=x2                                                 ..1 let's assume slope of tangent is m…

Q: Find the equation of the tangent and normal line of the function f(x)=√2x-1 at the point (5,3)

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Q: Find the equation of the tangent to the graph of f(x) =(x²+28)*/5 at x=2. %3D

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =  3x…

A: Point of tangency = (2, 8)m = slope of the tangent line = f'(x) at the point of tangency =…

Q: 1) Find the slope of the tangent line to the graph of f(x) = x2 - 3 at the point (2, 1). %3D (8…

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Q: |Find the point(s) on the curve f(x) = x² where the tangent is parallel to the line 4x-y-1= (

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Q: find all points (x,y) on the graph of f(x)=3x^2-5x with tangent lines parallel to the line y=7x+1.

A:

Q: Find a function f such that f'(x) = r and the line 4r - y = 3 is tangent to the graph of f.

A: Given: f'(x)=x3Tangent line to the given curve is:  4x-12y=3Therefore: y=8x-6

Q: Let f(x) = 2x + 3 – 17e". Find the equation of the tangent line to the graph of f(x) at the point…

A:

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

A: Consider the graph of function, To calculate the slope (m) of the tangent line at the points (2,…

Q: Find the x and y coordinates on the graph of f (x) = x³ - 3x where the tangent is horizontal. (A)…

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Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at…

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Q: Find the Equation of the tangent line of "f" at the given point. f(x)=(x-4)(x2+6x-1),(0,4)

A:

Q: Find the equation of the tangent line to the function f(x)=x3+3x2+x+4 at the point where x=−2. Give…

A: we have to find tangent line at x=-2given

Q: Find the equation of the tangent line to the graph of the function f(x): = x+7 x-8 at the point (0,…

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a.

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Q: Find the point where the tangent to the graph of f(x)= -x^2-6 is parallel to the line y=4x-1

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a. f (x) = x4, a = 2

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Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+8)(x−3) at the point…

A: Given: y=fx=x2+8x-3 at 0,-24 we know that for finding equation of tangent we need to find slopem of…

Q: Find equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: Given function is fx=4x-x2. To find the equations of the two tangent lines to the graph of function…