Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not exist, enter DNE.) f(x) x2 + 49 smaller x-value (x, y) %3D larger x-value (x, y)

Q: f(x+h)-f(x) 8x3-4х-2 sing ļim find the slope of the tangent line at y = at x = -2. h Зx+6

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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: d f represents the slope of the tangent line to the graph of (f(z)) dz

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Q: What is the range of the tangent function y=tan(x)? A R B [- 1, 1 [0, + ) D (- 00, 1]U[1,+ ∞)

A: Tanx is the ratio of sinx and Cosx

Q: dy for the function dx b. [1.5 marks] The derivative y = cot-l V14 – x²

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Q: Determine the value(s) of x where the tangent to g(x) = (x + 5)(x2 - 1) is parallel to y = -7x - 8

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

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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: Find the equation of the tangent line to the graph of the function f(x) = 30 - 4In(2) at I = 1.…

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Q: S(r) = x – 2:r +4 What is the y-intercept of the tangent line that intersects the function at I= 2?…

A: We know that,The tangent point of the given curve can satisfied the equation of that curve.

Q: 32. Find an equation of the tangent line to the graph ofy= /(r)at z = -3if S(-3).32 and f'(-3) 5

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Q: mm? Let f (x) = vx .Find the equation of the tangent line to f(x) at x = 30. Using the linear…

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Q: Find the equation of the tangent line to the graph of f(x) = xcos(4x) at x= 4 Enter your answer in…

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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: Find all points (x,y) on the graph of f(x) = 2x- 3x with tangent lines parallel to the line y= 13x +…

A: Given : f(x) = 2x2 - 3x     To find the points on the graph of f(x) = 2x2 - 3x with tangent lines…

Q: Find all values of x for the given function where the tangent line is horizontal. 2 f(x) = Vx + 2x +…

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Q: Use the four-step process to find the slope of the tangent line to the graph of tl answers…

A: We can solve the question in step by step process as below

Q: Consider the function f(x) = x³ +1. (a) (2 pts.) Calculate the equation for the tangent line to the…

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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 value(s) of x where there is a horizontal tangent line for f(x) = a³ – 14x² + 24x + 12.

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Q: Find the indicated quantities for f(x)=5x2 (A) The slope of the secant line through the points…

A: Given function fx=5x2To find the slope of this secant line , we first need to find the values at…

Q: x= 7t² +5 12. Find points on the curve of - where tangent line is either vertical or horizontal. y=…

A: Vertical and horizontal tangent

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: y= 7^x + 4e^x at x = 0

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Q: Let f(x) = 6x + 2 – 7e*. Then the equation of the tangent line to the graph of f(x) at the point (0,…

A: Here we find the tangent equation then we find the value of m and b.

Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

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Q: Determine the point(s), if any, at which the graph of the function has a horizontal tangent line.…

A: Given y=x2+6xThe slope of the tangent line of a graph y=fx at  a point x0 is given by the derivative…

Q: ind the derivative of: −4e−3xcos(−8x)-4e-3xcos(-8x) Now, find the equation of the tangent…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Use implicit differentiation to find dy/dx and find the x-value of the point at which the graph of…

A: Given equation :-     x2 + 9y2 + 6x - 36y + 36 = 0

Q: et f(x)=2x+15−9e^x , then the equation of the tangent line to the graph of f(x) at the point (0,6)…

A: Given function, f(x)=2x+15−9ex

Q: dy for the implicit function x +y -2y = 3. Then find the equation of the tangent line at the Find dx…

A: use differentiation for finding the slope and then use it for finding the equation of tangent line.

Q: Q#1. Find the x-coordinate of the point on the graph of y =x² where the tangent line is parallel to…

A: The given curve is  y = x2 Secant line cuts the curve at x = - 1 and x = 2

Q: 3a) Determine the equation of the tangent to f(x) = In(3x + 4), at x = 2. %3D Equation of Tangent:…

A: Please see the explanation below

Q: dy for the function dx b. [. |The derivative y = cot-1 V14 – x²

A: Explanation of the answer is as follows

Q: 3) Find the slope of the curve defined by f (x) = x° sin x at x = T. 4) Differentiate g(x) = e* .

A: The slope of a curve y=f(x)  at a given point x=a is the value of dydx  at the given point x=a. So…

Q: cx³+lnx 1. Determine the equation of the tangent line to the graph of f(x) = || V3 + 5t5 dt at x =…

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Q: Let f(x) = 8x + 10 – 3e². Then the equation of the tangent line to the graph of f(x) at the point…

A: The given function is: f(x)=8x+10-3ex

Q: Compute f'(x). f(x)= 5x-32squ. rt x     a=4 f'(x)=_______________ Find an equation of the tangent…

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Q: Find the indicated tangent line. Find the tangent line to the graph of f(x) = 8eDx at the point…

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Q: Find any value(s) of the constant a such that the line y = ax is tangent to the curve f(x) = -x² +…

A: Tangent of a curved touches the curve only at one point.

Q: t3 on the curve .4 F (x) = L* x3 t3+1 x=1 Write the equation for the tangent drawn from the

A: using lebnitz rule

Q: Q3 Find the equation of the tangent line to the function f(r) =x+7 at r 1. Show your work.

A: f(x) =x3 +7 Let y = f(x) = x3 +7, we have to find the tangent at x=1 , so value of y at x=1 is  f(1)…

Q: yx  = xy + xlny      for the function given as dy/dx Find its derivative. (x,y) = (1,e2)    What is…

A: Solution:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: given that x-1 f(x)=

Q: po Suppose h(x) = Vf(x) and the equation of the tangent line to f(x) at x = 1 is y = 4 + 1(x – 1).…

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Q: et f(x)= (x-2)/(3x+7) Find an equation for the tangent line to the graph of f at x=11 Tangent…

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Q: e-Sx at the point where x = 0. Find an equation of the line tangent to the graph of y = x³+1

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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: 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: 5. For the function g(x) = sin(x), find all points – 1<c <1 where the MVT shows g(1) – g(-1) =…

A: To find the value of c using the mean value theorem