f the line tangent to the graph of y =x* – 2x + 1 at x =-1

Q: Find the equation of the tangent line to the function f(x) = x3 + a2 – x – 3 at the point where x…

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Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the…

A: The given curve is: f(x)=6x+15-15ex

Q: Find all points on the graph of f(x) = x +a where the tangent line is parallel to the line y = 28x.…

A: Consider the function f(x) = x3 + x Slope of the tangent to f(x) is the derivative of f(x). f'(x) =…

Q: Find all points (x, y) on the graph of g(x) = x3/3 -3x2/2+1 tangent lines parallel to the line 8x -…

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Q: The line y = 3x + k is tangent to the curve y = x when k is equal to

A: Given,        The line y=3x+k is tangent to the curve y=x3

Q: Suppose that the line 2x + 3y = 5 is a tangent to the curve y = f (x) at x = 1. The value of f ‘(1)…

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Q: Let f(x) = x* – 2x + 14. Then the equation of the tangent line to the graph of f(x) at the point (1,…

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Q: Let f(x) = 6x + 2 tangent line to the graph of f(x) at the point (0, – 3) is given by y = mx + b for…

A: The objective is to find the equation of the tangent line.

Q: Find f(4) and f'(4), assuming that the tangent line to y = f(x) at a = 4 is y = -7x +2.

A: The derivative of a function at a point represents the slopeof tangent at that point .

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: 4. Determine the point(s) at which the graph of f (x) = has a horizontal tangent. Simplify as much…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² – 7xy2 at the point (7, 8) z =

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Q: Let f(x) = V13 – x The slope of the tangent line to the graph of f(x) at the point (4, 3) is The…

A: Given ,  f(x) = √(13 - x) (A)  We have to find the slope of tangent line to the graph of f(x) at the…

Q: Find the equation of the tangent line to the curve f(æ)= 2x2 – x at x = 1. O T(x) =2+ 3(x – 1) O…

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Q: Find the equation of the tangent line to the graph of y = f(x) at r = 3. %3D f(x) = In(x – 6|) y =

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Q: Find the equation of the tangent line to the curve f(x) = –a² – 3x +1 at x = 1. о Та) — —3— 5(х — 1)…

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Q: Find the points on the graph of f (t) = t 3 - l2t + 4 where the tangent line is horizontal.

A: Now tangent line is horizontal if slope of the tangent line is zero and slope of the tangent line is…

Q: Find the equation of the tangent line to the function f(x) = -3x2 – 2x at the point where x form y =…

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Q: Find the equation of the tangent line to the function f(x)=2x^2−9 at the point where x=−6. Give your…

A: Calculate the derivative of the function at given point than write the equation of tangent line.

Q: Let f(x) = v16 – x The slope of the tangent line to the graph of f(x) at the point (7, 3) is The…

A: The slope of the tangent line to the given curve is equal to the derivative of the function at the…

Q: .The line y + 2x = 0 is tangent to y = F(x). Determine F(x) if F(x) = 4x³ + 2.

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Q: Find a function f such that f'(x) = 2x' and the line 54x + y = 0 is tangent to the graph of f. (x) =

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Q: Find a > 0 such that the tangent line to the graph of f (x) = x2e−x at x = a passes through the…

A: The tangent to curve at a point is a line that touches the curve at that point and with a slope…

Q: For the curve: f(x)=√x-5 the equation of the tangent line when x=9 is Oy--(x+1) Oy--1(x-1) y= Oy- (x…

A: This question can be solved using the concept of tangent and normal.

Q: Let f(z) = VII - z The slope of the tangent line to the graph of f(=) at the point (7, 2) is The…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = In(4x² – 2y2) at the point (1, 1).

A: To Determine: FInd the equation of tangent plane to the graph of…

Q: 2) Find the point(s) at which the graph of f (x) = has a horizontal tangent. x2+1 %3D

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Q: 4 Let f(x) = 4x + x2 given by y = mx + b for . Then the equation of the tangent line to the graph of…

A: We know that if m is slope and (x1,y1) is point on line the equation of line is given as-  (y - y1 )…

Q: Determine the value of a, given that the line ax+y+1 = 0 is tangent to the graph of y= ax-6x+1 at x…

A: Given  y=ax2-6x+1find derivativey'=ddx(ax2-6x+1)y'=2ax-6+0y'=2ax-6at x = 1y'=2a(1)-6y'=2a-6

Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² - 7xy² at the point (7, 8). z =

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Q: Find all points (x, y) on the graph of y = x/(x - 2) with tangent lines perpendicular to the line y…

A: Given:

Q: Find a point on the curve y=x2−2x−3 at which the tangent is parallel to the x−axis.

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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: II. FIND THE EQUATION OF THE LINE TANGENT TO_f(x) 1. f(x)= (x+1)' (2x +3)² at x=-2

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Q: Find the slope of the line tangent to the x³ – 2x + 1 at x = 2 curve y %3D %3D O-10 O 1/10 O-1/10 O…

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Q: Find the equation of the tangent line to the graph of the function f (z) = (z² + 10) (z – 2) at the…

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Q: Find the tangent line to the curve (x-3y)2  + 8x + 12 = 0 at the point where y = 0

A: First differentiate at point then use equation of tangent line

Q: Find an equation of the tangent line to the graph of y = g(x) at x = –1 if g(-1) = 5 and g' (-1) =…

A: Concept: The Equation of tangent to the graph y = g(x) at point (x1,y1) is given by: (y -y1) =…

Q: Find the equation of the tangent plane to the graph of f(x, y) =−3x2 − y3 at the point (x, y) = (2,…

A: The given function is

Q: Find the tangent line to the curve (x-3y)²+8x+12=0 at the point where y=0

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Q: Find an equation of the tangent line to the graph of the function 2 x 4 2x+4 at the point (4, O Oy=…

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Q: Find a point on the graph where x = t² - 1, y = 2t has a vertical tangent.

A: For vertical tangents dx/dy=0

Q: Find the equation of the tangent line to a curve Y= \x at x= 4 4y - 8 -х%3D 0 4y -83D х-4 4y-x-4=0…

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Q: Let f(9)=−4 and f′(9)=−4. Then the equation of the tangent line to the graph of y=f(x) at x=9 is:…

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Q: Find the equation of the tangent line to the curvef (x) = 2x³ 3. - x at x = 2. o T(x) = 14 – 23(x –…

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Q: Find the point where the tangent line to y = a" at a = 0.6 crosses the x-axis. x-intercept =

A: X- intercept is x=0.45 See the calculation below

Q: Find the equation of the tangent line to the curve y% D In(x8) at the point (1,0). O y = 4x - 4 O y…

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Q: Find the equation of the tangent line to the curve f(x)=5-x² at x = 2. O x-4y-2=0 O 4x + y +7=0 O 4x…

A: Find the equation of the tangent line to the curve f(x) =5-x^2 at x=2.

Q: Find the tangent to y=x- 3Dx-x+13 at x=D4.

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