The figure shows graphs of f, f ', f ", and f "'. Identify each curve. ? f' a bc d

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

A:

Q: Write an expression for the slope of the tangent line to the  curve y − f(x) at the point (a,f(a)).

A: Given: The equation of curve is: y=fx Given point is a, fa.

Q: Find the equation of the line that is tangent to the curve y = 4x cos x at the point (T, -47). The…

A:

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: If f(x) = 3x? - x', find f'(1) and use it to find an equa- tion of the tangent line to the curve y =…

A: f(x)= 3x2-1f'(x)=3 (2x)-0        = 6xf'(1)=6 (1 )= 6

Q: Figure 1 below is a sketch of a function g(x) and its tangent line at the point (2,5). (2,5) → gex)…

A: From given graph g(2) = 5 g(3) = 0

Q: Practice: Graph f(t) = cot (at) 立 2

A: We have to graph cos(pi t)

Q: Find an equation of the tangent line to the graph of the function at the given point , y = x2ex −…

A:

Q: Find an equation of the tangent line to the graph of the function                     y = arcsec 4x,…

A:

Q: Answers

A:

Q: Find f andf, and evaluate each at the given point. y' f(x, y) (6, -6) = arctan f,(6, -6) = (6, -6) =

A:

Q: Consider the graph of f (x) = 16 – x². f(x) P Find the coordinates of the point P in the graph at…

A:

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

A:

Q: The function f(x, y) = sin(/3x2 + 3y² ) corresponds to plot [ Select ] level curve [ Select] >

A:

Q: In the diagram, AB and BC are both tangent to P. Determine the value of X.

A:

Q: The graph of f(t) = tan (t - TT/3) is obtain by shifting the graph of f(t) = tan t a distance of…

A: The graph of ft=tan t-π3 is obtained by shifting the graph of ft=tan t a distance of π3 units to the…

Q: Which of the following is the equation of the tangent drawn to the graph of the function y=x^3 – 2…

A:

Q: Which of the following is the equation for the tangent line to the curve y = arcsin at the %3D…

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Use derivative

Q: Find an equation of the tangent line to the curve at each given point. x = t? - 4, y =t? – 2t at (0,…

A:

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

A: Solution:Given          f(x)=sec-1(ex);              (ln 2, π/3)To find the equation of the line…

Q: Trace the curve r² = 4cos*etan?o.

A: The given curve is r2=4cos4θtan2θ. Simplify as follows:…

Q: y X -

A:

Q: 83. Find the coordinates of the point P in Figure 22 at which the tangent line passes through (5,…

A: f(x) =  9 - x2  The tangent lies on point P  if x coordinate is a  then y coordinate = f(a) y…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 6x…

A: Given that: Equation of the curve is:         y=arcsec(6x) and the point is:              26, π4

Q: Sketch the graph of each tangent curve in the interval from 0 to 2n and give the period of the…

A:

Q: Find the x and y coordinates on the graph of f (x) = x³ - 3x where the tangent is horizontal. (A)…

A:

Q: Sketch a curve with the following properties. 0, for x> 12

A:

Q: For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x)?

A: QUESTION- For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where…

Q: At the given point, find the line that is normal to the curve at the given point. 5x y-n cos y = 6n,…

A:

Q: At what point(s) on the curve x

A: Given that : The curves are x = 3t2 + 9 and y = t3 - 2. Slope of the tangent line is 12 .

Q: |The graph of ах + b f(x) = (т — 1)(» — 4) has a horizontal tangent line at (2, –1). Find a and b.

A:

Q: Determine the length of the curve obtained from the graph of the function e +e=* f(r) = from r = -1…

A: We will find the length of the curve from the graph of the given function as shown below

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

A:

Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to…

A:

Q: Consider the following. Function Point (÷) f(x) = tan? (a) Find an equation of the tangent line to…

A:

Q: Which of the following is the tangent equation drawn from the x =pi/3 point on the y = 2sinx curve?

A:

Q: Consider the following equation and point. f(x) = 3x2 – 6, (-1, -3) Find an equation of the tangent…

A:

Q: Consider the following. Function Point f(x) = arcsec 5x (a) Find an equation of the tangent line to…

A:

Q: Find the x-coordinate of each point where the function f (x) arcsin (5 a - 2 x) has a horizontal…

A: For horizontal tangent, equate slope of tangent = 0 Slope of tangent = f'(x)

Q: Which of the following is not true about the curve y x

A:

Q: Figure 1 below is a sketch of a function g(x) and its tangent line at the point (2,5). (2,5) gez)…

A:

Q: Find, correct to two decimal places, the coordinates of the point on the curve y =sin x that is…

A: Given that y=sinx So coordinate point is x, sinx.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = x2ex −…

A:

Q: Find the equation of the tangent line at =n/6. r tan O

A: We Have to find

Q: f(x)=. (x–1) %3D (x +2)' 3

A: To find the horizontal tangent of the given by, we have to equate the first derivative of f(x) equal…

Q: Find an equation for the e Foci: F(±2, 0), ver

A: The focii of the ellipse is ±2,0 . The vertices of the ellipse is ±3,0. The equation of the ellipse…

Q: Draw a curve y = f(x) for which f' and f" have signs as indicated in Figure 2. FIGURE 2

A: