Solve the problem. Find where all tangents to the curve f(x) = that have slope -1. x + O x = 0 O x = -1 O x = 1 O x = 1/2

Q: Q(x) = Jx + Vx + x + ..

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Q: ii. find the equation of the tangent line to f at x = a. (a) f(x)=3-4x, a=2. (b) ƒ(x)=x² +x, a = 2.

A: We have to determine the equation of tangent line

Q: Find all values of x for which f(x) = e?*(x² – 12) has horizontal tangent lines. %3D

A: Horizontal tangent meaning slope of those tangent are zero . Take the derivative and equate to zero…

Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: Find the slope of the line tangent to the curve at the given point. y = 7 cos x ; x = 4 C. - 7V2 7V2…

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Q: (a) If F(x) = 12x/(3 + x²), find F '(3) and use it to find an equation of the tangent line to the…

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Q: 3125 -), then solve it for y. e5 Determine an equation of the tangent line to y = x°e * at the point…

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Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B)…

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Q: 58. Find an equation for the tangent line to the graph of y = Vx? + 3x at the point (1, 2).

A: The given function is y=x2+3x. Compute first derivative as follows. dydx=ddxx2+3x=12x2+3x…

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex5 −…

A: Given equation of curve is Differentiating with respect to x, we get We know that slope of tangent…

Q: ms. 4x Find the equation of the line tangent to y = e "* at x = , In 5. 4 The equation of the line…

A: Given: y=e4x To Find: Find the equation of the line tangent at x=14ln5 Concept: i. ddxeax=aeaxii.…

Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) ev dy at x = 0. sech z

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Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given, y=2-x3 Point P = (1, 1)

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

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Q: r2x²+2x+1 Find the equation of the tangent line to the graph of F(x) = evy dy at x = 0. J sech x

A: We have to find the equation of the tangent line to the graph of F(x)=∫sechx2x2+2x+1eydy at x = 0.

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: d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model…

A: (d)

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: 3x The equation of the line tangent to f(x) 1 at x = – 2 is x + 3 y = 10x +

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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: Solve the problem. Find where the tangent to the curve f(x) = V+1 that has slope . O x = 3 O x = 1 O…

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

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Q: 19. Find an equation of the tangent line to the graph of f(x) = 2/x at (a) (1, 2); (b) (–1, –2); (c)…

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Q: Q14: Find the equation of the tangent line to the curve xsin y+x' = tan" (e") +x- at the 4 point…

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Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

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Q: Find the equation for the tangent to the curve y = exp [6x] at the point (7, e 294). f(x) = exp…

A: given: the equation of the function is: y=e6x2 the given point is: 7,e294

Q: 3. Find the slope of the tangent line to x? = (y² + 1)(x + y) at (0,0).

A: As we know that: The slope of the tangent line to the given curve is equal to the derivative of the…

Q: 1 14. Find the equation of the tangent line to f (x) at the point (a,f (a)) when a = 5. x+5

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Q: - Find the equation of the tangent to the 2(x2 + y?)2 = 25(x² – y2) at (3,1)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find an equation of the tangent line to the curve

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e*+…

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Q: Assuming that y is defined implicitly b equation x2 – y? = 17, the derivative (7, 12) is O 0.58 O 38…

A: We have to choose the correct answer from the given option according to the given condition

Q: Solve Find the values of x where the tangent line is horizontal. fめ =(x^-q)? 2. 9

A: To find the points at which the tangent line is horizontal we need to find at which point the slope…

Q: 3. For what value of x will the slope of the tangent to f(x) = 3**e* +5x +17 be equal to 5?

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Q: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

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Q: 2. (A) Find the equation of the tangent line tof (x) = x4 – 98x² + 82 at x = -1. (B) Find the…

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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: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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Q: Solve the following problems. Show the complete solution. 3. What is the equation of the tangent…

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Q: nd an equation of the tangent line to the curve at the given poir y = x4 + 9x2 - x, (1, 9)

A: We will find the tangent line.

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: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

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Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

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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: 2. If f (x) = e**, find the slope of the tangent line to f ~1 at x = 1. А. 1 D. 4 В. 1/2 С. 1/4 E. 2…

A: Here we have to find the inverse of the function and then we find the slope of the tangent line

Q: 1. For the function f(x) = 4x? + 6x – 6, (a) Find the slope of f(x) at x = 4 (b) Find equation of…

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Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

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