Solve the problem. Find where the tangent to the curve f(x) = V+1 that has slope . O x = 3 O x = 1 O x = 0 O x =±1

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: 4. For what values of x does y² – 2x3 – 12x? = 0 have horizontal tangent lines? A. x = 0 only В. x =…

A: The value of x for function Horizontal tangent lines ?

Q: Find the equation of the tangent line at y = 0, given the inverse function x = (3y + 2)(y + 1)? A) x…

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Q: e 1 Determine the equation of the tangent line y=x=2( at x

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Q: Given f(x) = 6xe® csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to…

A: A function f(x)=6xexcsc(x), we have to find the derivative of the given function i.e. f'(x) also…

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

A: Given y=x2-6x+5

Q: For what value(s) of x, the curve y = has horizontal tangent ? x²+1 x= 0 & x = - 1 Ox=0 O x=1 & x=…

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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 equation of curve :                                       y = x3

Q: = e=x², 1 at the point 3, Find an equation of the tangent line to the graph of y =

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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: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

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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=1-5x2, P(2,-19)

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: 2. Calculate the slope of the tangent to the given function at the given point or value of x. 3 %3D…

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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: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12…

A: Solution is below

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: 3. The slope of the tangent line to f(x) = A tan(x) is 1/2 when x = 27/3. Deter- mine the equation…

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Q: 4. Given f(x) = sin² (2x) find the slope at (5, 1) a)-√3 b) √3 d) 0.1395

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

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

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Q: Determine the equation of the tangent line to the curve (x) = x/ x + 1 at X=3. 11 A 4 11 В 2/3 11…

A: Solution: Let y =f(x)

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: (a) Find an equation of the tangent line to the curve y = 12x sin(x) at the point (T/2, 67).

A: Given equation of curve is as below: Equation of the tangent line to the curve y = f(x) at the…

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: Find the equation of the tangent line to the graph of the given function at the given value of x. 2…

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Q: Find the equation of the line tangent to fƒ(æ) = e² (x² + 3x) at the point (–2, –2e¯²). O y = -3e-2…

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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: 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: Assume a particle's position is given by f(t)=3/t,where t is measured in seconds and f(t) is given…

A: Assume a particle's position is given by ft=3t ,where t is measured in seconds and ft is given in…

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

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Q: Find the equation of the tangent line at x =7 for f(x) = 6 – x. Write the answer in the form y= mx…

A: Equation of the tangent at x=7 is y=mx+b where m is slope

Q: Find the slope of the tangent line to the given curve at t=3. Sx=²-7 The slope is

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Q: Given f(x) = 6xeª csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to…

A: fx=6xexcscx a). Differentiating with respect to x, we get…

Q: Consider the function f(x) = e^x2−6x+5 . Find the value(s) of x at which the tangent line is…

A: Given thatf(x)=ex2−6x+5ddx(f(x))=ddx(ex2−6x+5)               =ex2ddx(x2) −6               =2xex2-6

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 the equation of the tangent line to the graph of the given function at the given value of x. 3…

A: we have to find the equation of the tangent line of f

Q: f(x)=-3x^4+11x^2 What is the equation of the tangent line at x=-1?

A: Obtain the value of y as follows.

Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

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Q: 9. Find the equation for the tangent line to f(x) = at A)9x+25 y=-34 B)9x+25 y =-24 r=-1 C)-9x+25y =…

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

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

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Q: Given 5y + xy-4 0; find a) f '(x) b) the equation of the tangent line at x--3

A: Given: 5y+xy-4=0 From the given expression, (a) Differentiate the expression of f(x) with respect…

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

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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: 9. Find the equation for the tangent line to f(x) = at *=-1 A)9x+25 y =-34 B)9x+25 y=-24 C)-9x+25y…

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…