Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2 y = 9x +x372, x= 16 The slope of the tangent line to the graph is . (Simplify your answer.)

Q: For the given function, (a) find the slope of the tangent line to the graph at the given point; (b)…

A: The function is given b y hx = 7x To evaluate: (a) The slope of the tangent line to the graph of the…

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: find the values of x where the tangent line

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Q: nd an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

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

A: The equation of a line is of the form y=mx +c, where m is the slope and c is the y-intercept. The…

Q: Use the graph below to determine the slope of the tangent line to y-f(x) when x=1. (2,5). 4 3 y-…

A: We can use the concept of Straight line in order to solve the given problem.

Q: The slope of the tangent line at any point (x, y) on the curve is given by (x + 2) + 1.lf the curve…

A: Let the given curve be y=fx.Given that dydx=x+223+1Also, it has an x-intercept of -2, that means,…

Q: Find the slope and the equation of the tangent line to the graph of the given function at the given…

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Q: 11. For the given function, find the value of x on the graph where the tangent line is horizontal. y…

A: Writing the equation in standard form.

Q: Find an equation for the tangent line to the graph of the given function at (- 2,6) f(x) = x? +2…

A: Given function is as below: f(x)=x2+2

Q: 7x Find the slope of the tangent line to the graph of f(x) = at x=2. (x+1)(x- 5)

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Q: Find the equation of the tangent line to the graph of the given function at the given value o f(x) =…

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x 1/2…

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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: For what value of x is the tangent line to the curve y= x² – 6x +5 horizontal? (A -3 3 D none of the…

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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 the equation of the line tangent to the graph off at the indicated value of x. 6 3 f(x) = Inx;…

A: In this question we have to find the equation of the line tangent to the graph of f at the indicated…

Q: 38. Find an equation of the tangent line to the curve at the given point. y = xe-x?. (0,0)

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Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =…

A: Graph and tangent line

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: Answer: 3. Let f(x) = (x³ - 2x)3. %3D (a) Find the slope of the tangent line to f(x) at r = -1.…

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

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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: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) - (x? -…

A: Solve the following

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: 2x2 at the point where x = 1. 6. Find the equation of the tangent line to the graph of f(x) = x +1

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) : -15x + 3…

A: Given that  f(x)=-15x+3  At x=1

Q: Find the function whose tangent line has the slope e for each value of x and whose graph passes…

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Q: 51. Find an equation of the tangent line to the graph of y = x? + 3/(x - 1) at (a) x = 2; (b) x = 3.

A: The given equation of the curve: y=x2+3(x-1)

Q: Find all the values of x (if any) where the tangent line to the graph of the given equation is…

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Q: Find an equation for the tangent line to the graph of the given function at (4,25). f(x) = x² + 9…

A: Given graph isf(x) = x2+9we have to find the equation of the tangent line at (4,25)we have f(x) =…

Q: Find f(3) if f"(x) = 2 and at the point (2, 6) the slope of the tangent line to f is 10.

A: we have to find f(3) if f"(x) = 2 and at the point (2, 6) the slope of the tangent line to f is 10.

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 3. Find the equation of the tangent line to the graph of the function at the given point. (a) #61. y…

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Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: Use the equation below to find the tangent line to the graph of the function f(x) = 6 − 2x^2 at the…

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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: 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: A) Find an equation of the line tangent to the function of x? + (y - x)? = 9 atx = 1.

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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) = -8 and g'(4) = 71.…

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Q: nd the equation of the tangent line to the curve when x has the given value. Find the equation of…

A: Our Aim is to find the equation of the tangent line to the curve x2+5xat x=4.

Q: For the given function, (a) find the slope of the tangent line to the graph at the given point; (b)…

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Q: 13x Ca) If F(x) = find F'(3) and use it to find an equation of the tangent line to the curve y = 13x…

A: Given function is : Fx=13x4+x2 To find the value of F'3 and to find the equation of tangent to the…

Q: Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(x)=-6 and g’(5)=2. Answer…

A: We have to find equation of tangent line

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…

Q: Find an equation of the tangent line to the graph of f(x) = 5 - 5x at (4, - 75). The equation of the…

A: (a) Our Aim is to find the equation of tangent line to the graph f(x)=5-5x2 at…