Graph the curves ina. Where do the graphs appear to have vertical tangent lines? b. Confirm your findings in part (a) with limit calculations. y = x3/5

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: Find an equation for the tangent line to the graph of y tan at the 100 2 point with r = 8.

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Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: Find an equation of the tangent line to the graph of the function                      y = arctan…

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Q: Find an equation of the tangent line to the graph of the function at the given point.

A: y=tan-1x2 , 2,π4

Q: Find an equation of the tangent line to the graph of the function                       y = xcosh x…

A: The given function is  Taking log on both sides

Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and fl-1)=2, then what…

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Q: Find the slope of the tangent line to the graph of y=sqrtx at the point (25,5) Select your answer…

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Q: Find an equation of the tangent line to the graph of the function                     y = (−1/4)…

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Q: Find the equation of the tangent line to the graph of f (x) = -4e2* at the point (0, -4). Hinti Sh

A: Explanation of the answer is as follows

Q: ) Find an CIuation of the line tangent to the graph of Gec)=6e3X x tal dou2 o the Point (0,6). at

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Q: Find the slope of the tangent line to the graph of y = x2 at the point where x = - 1/4.

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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) = −3 and g'(2) = 4.…

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Q: For what x-values that the curve ?(?) = (1/3)x3-x2 have horizontal tangent lines?

A: fx=13x3-x2 Differentiating with respect to x, we get f'x=133x2-2x    ∵dxndx=nxn-1=x2-2x

Q: If y = Vr² + e(1-2), the slope of the tangent line to the graph of y at a = 0is

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Q: Let P(t) be the population of a bacteria culture after t days and suppose that P(t) has the line y =…

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Q: Find the slope of the line tangent to the graph of f(x) = 4 - xatx = 2. Provide your answer below: m…

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Q: have any horizontaltangents in the interval 0 … x … 2p? If so, where? If not, why not?Visualize your…

A: Consider the function, y=x-cotx…

Q: For what values of x does the graph of f (x) have a horizontal tangent line?

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Q: The graph of ax + b f(x) = (x+ 1)² has a horizontal tangent line at (-2, –1). Find a and b.

A: Given,           The graph of fx=ax+bx+12 has a horizontal tangent line at -2,-1.

Q: Find an equation of the tangent line to the graph of y= g(x)at  x = 5 if g(5)  =-3  and g(5)  =4

A: Let us consider g(5)=-3 and g'(5)=4. The equation of a tangent line at the point x=5 on the graph…

Q: Find an equation of the tangent line to the graph of Y = e2x-3 at the point (3/2,1).

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Q: The tangent line to the graph of y 5x-x' when x 3 is y -22x +54 OB 8. y-12x +54 y=-9x+5 OD.

A: The equation of the curve is given by y = 5x-x3 To evaluate : The equation of the tangent line to…

Q: Graph the curves ina. Where do the graphs appear to have vertical tangent lines? b. Confirm your…

A: Given function is: y=x15

Q: Find the tangent line to the Witch of Agnesi (graphed here) at the point (2, 1). 8 y = x + 4 (2, 1)…

A: y = 8 / (x2 + 4) point (x1, y1) = (2, 1)    equation of the tangent line: (y - y1)= m(x - x1)

Q: Determine the tangent to the curve 3y2 = x3 at (3,3) and calculate the area of the triangle bounded…

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Q: find the Po s at which the tang ent liae to the graph of funstion S)= x3-4x+ 5o has Slope equalta 30

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Q: Does the graph ofhave a tangent at the origin? Give reasons for your answer.

A: Given function is fx=x2sin1x , x≠00,             x=0

Q: Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent…

A: Given function is         h(x) = -3x5-5x4+20x3+60x To find the largest slope of h(x) at the tangent…

Q: Does the graph of Sxsin(1/x), x + 0 g(x) 1o. x = 0 |have a tangent line at the origin? Give reasons…

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Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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Q: The tangent line to the graph of y = In(x² – 1) .2

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Q: What is the slope of the tangent line that touches the graph of In(y)+e2x-=3y – 4x at the point (A 1…

A: The solution are next step

Q: Graph the curves ina. Where do the graphs appear to have vertical tangent lines? b. Confirm your…

A: Given: x23-x-113 To Find: a. Where the graph appears to have Vertical Tangent Line.b. Confirm your…

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4 at the point (2, 512).

A: The tangent is given by dydx So, In this question we differentiate y with respect to x and then put…

Q: What is the slope of the tangent line that touches the graph of In y + e2"- = 3y – 4r at the point…

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Q: At what point of the curve y = cosh x does the tangent have slope 1?

A: Given curve is: y=coshx

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

A: Please see the answer below.

Q: Find an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the…

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Q: Based on your computations, do youthink the graph of f has a tangent at x = 1? If so, estimate…

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Q: I need a n easy to remember formula to find the slope of a tangent line.

A: If the given curve is y=f(x) and we have to find the slope of tangent to the curve at the given…

Q: Find the length of tangent FG F 5+x 2x -5 E

A: Length of tangents of radius is always equal.

Q: The tangent lines to the graph of f (x) = x2 grow steeper as x increases. At what rate do the slopes…

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Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4  at the point (1, 81).

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Q: An equation of the tangent line to the graph of 5 – x* at (1, 1) is 4

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Q: Find an equation of the tangent line to the graph of Y=x(x+1)^5 at the point (2,486)

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Q: i. Find the equation of the tangent to the graph of g at (4, 2).

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Q: Find an equation for the tangent line to the graph of f(x) = x+7 at (4,23).

A: Given: f(x)=x2+7 To Find: An equation of a tangent line to the graph of the given function at…

Q: Find the slope of the tangent line to the graph of f(x) = √√√x-2 at x = 6. Provide your answer…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.