What can you say about the tangent line to the graph of f(x) = V+ 2- 3 at = -2? O There is no tangent line there. O The tangent line is horizontal. O The tangent line is vertical. O The tangent line has negative slope.

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has an x-…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points…

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Q: #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.)…

A: 2.b) gx=x+2, P-1,1d) fx=5x-2, P4,52 Note:     multiple questions are given, we are answer only one…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3.…

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Q: If g(x) = xf(x), where f(4) = 9 and f'(4) = -4, find an equation of the tangent line to the graph of…

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Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: Find the equation of the tangent line to the graph of ​f(x)=3/x at (9,1/3). The equation of the…

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Q: g(x) : 15 — х2; (1, 14)

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 4.…

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Q: 4. What is the slope of the curve of f(x) = v2x + 1 at x = 4? а. 3 b. - с. d. ! e. None of the above

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Q: 56. For what value of a does the graph of f (x) = e® – 2x have a horizontal tangent?

A: Given query is to find the value of x where tangent is horizontal.

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) == 5.…

A: Known fact: The equation of line with slope m and passing through x1, y1 is given by y-y1=mx-x1.

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 6.…

A: we are given y=g(x),g(3)=-2,g'(3)=6

Q: Given that f(-5)=-5  and f'(-5)=-10 , find an equation for the tangent line to the graph y=f(x) of…

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Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=n

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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) = 5.…

A: y=g(x) and g(4)=-3 , g'(4)=5 we have to find the tangent line of the given function y=f(x)

Q: 5x - 8 Find the equation of the tangent line to the graph of f(x) = x +1 at the point at which x =…

A: Equation of tangent line is (y-y1)=m(x-x1)

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

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Q: a. Find the tangent to the curve y = 4cot at x 2. b. What is the slope of the curve with the…

A: Given:       y=4cot πx8 at x=2       y=4cot πx8       substitute x =2       y=4cot π28       y=4cot…

Q: Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x² + 4x -…

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Q: Find the slope of the tangent line to the graph of the function at the given p f(x) = -2x + 6 at…

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Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: Find the equation of the tangent line to the graph of the function f (2) = (22 +7) (x– 2) at the…

A: Given curve f(x)=(x2+7)(x-2) ⇒f(x)=x3-2x2+7x-14

Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x² + 4x…

A: Part 1,Given,          The function is fx=x2+4x-1 .

Q: What is the approximate slope of the curve with equation f(x)=(1/x-1) at x = 1.2?

A: To find the approximate slope of the curve with equation f(x)=(1/x-1) at x = 1.2

Q: Given that f(-8) = 2 and f '(-8)  = 3, find an equation for the tangent line to the graph of y =…

A: Given that f-8=2

Q: f(x)= x' -9x² +15x – 7 what is the tangent line slope which is drawn at the inflection point of…

A: The given function is f(x)=x3-9x2+15x-7

Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

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Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: If f'(4)= 6 and g'(4)=3, then the slope of the tangent line to the graph of y=2f(x)-5g(x) at x=4 is…

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Q: 13 Let f(x) 13 is 4 The slope of the tangent line to the graph of f(x) at the point 4, 13 The…

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Q: 2x-5 Find the equation of the tangent line to the graph of f(x) = at the point at which x+1 x = 0.

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

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

A: The solution to given questions is explained below.

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x? - 8x + 4 has a tangent…

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Q: At the two points where the curve x2 - xy + y2 = 36 crosses the x-axis, the tangents to the curve…

A: x2-xy+y2=36

Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

Q: The equation of a curve is given by f(x) = (6x² − 7) (2x + 6). What is the slope of the tangent line…

A: The slope of tangent line on a curve f(x) that touches the curve at x = c is m = f'(c).

Q: Estimate the value of the function, whose graph is shown in red, at x = 2.2 if the tangent line to…

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Q: please help

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -6 and g'(4) = 5.…

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Q: 2. Write the equation of the tangent line to the curve y = x2 -x-2+ 2 at the point P(1, 2). 3. Use…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…