At what points are the functions continuous? TTX y = tan 2

Q: Find the tangent line to the curve y = 2 tan (πx/4) at x = 1.

A: We first find y' at x=1 using chain rule

Q: Assume that y = sin'x is a differentiable function of x. By differentiating the equation x= sin y…

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Q: Jn sec x tan x dx

A: Given- ∫π6π3secx·tanxdx To find- The value of the integral. Identity Used- ∫secx·tanx=secx+C, where…

Q: Graph two periods of the given tangent function y = 3 tan(x/4).

A: To Graph: Two periods of tangent function y=3tanx4. Concept: (i). If y=atanbx+c+da: amplitudeperiod…

Q: Find the tangent line to f(x) given below x)f(x) = cos(X cos(x?) + 2x at x=0.

A: .

Q: Find the derivative with respect to 0: y = In(sec 0 + tan 0)

A: Here we have to find the derivative of             y=ln(secθ+tanθ) To find the derivative here we…

Q: Differentiate the function.

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Q: Consider the function y = x² In(x³). At which point the tangent line to the graph of this function…

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Q: Find the equation of the tangent line to the graph of y = f(x) = 2 tan(x) at the point a = 0.

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Q: Find the equation of the tangent line when x = a on the function (x) = -5 cos(x)

A: slope-point form : (y-y1)= m(x-x1) ; where 'm' is slope and x1,y1 is the point.

Q: At what point is the function in Exercise continuous?

A: We have the given function as y=cosxx A function fx is said to be continuous at x=a if and only if…

Q: Find the equation of the tangent to the function y = cos(2x) at the point where x = л/4.

A: equation of a tangent line

Q: Determine the equation of the curve whose tangent line at any point (x, y) is ex - sin x and passess…

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Q: Find an equation of the tangent line to y = 3 tan(x) at x = .

A: The given equation y=3 tan(x) at x=π4

Q: Find the slope of the line tangent to the graph of f(x)= tan(x) at x=pi/6

A: Given function - f(x) = tanx           .............(1)Let the equation of the tangent line be - y =…

Q: Graph two full periods of the given tangent or cotangent function y = 4 tan 2x.

A: Graph two full periods of the given tangent or cotangent function y = 4 tan 2x.

Q: At what point is the function in Exercise continuous?

A: Given,y=tanπx2πx2=π2+πn  {for any integer n}π2(x-1)=πnx-1=2nx=2n+1The domain is all value of x that…

Q: Graph two full periods of the given tangent function y = -2 tan πx/4.

A:

Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

Q: Identify all points of the function f(x)=sin x where the tangent line is horizontal

A: topic - slope of tangent to the curve

Q: Use implicit differentiation to find dy/dx if tan(xy) + x tan y = x

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Q: Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in the intervalocce O…

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Q: Graph two full periods of the given tangent function y = 4 tan 2x

A: Given: y=4tan2x

Q: x2 f(x) = X - 1 smaller x-value (x, y) larger x-value (х, у)

A: Given that function f(x)= x2x-1To find : the point if any at which the graph of f has a horizontal…

Q: Graph two periods of the given tangent function y = 2 tan 2x.

A: we have to draw the graph of two periods of the given tangent function y = 2 tan 2x.

Q: Find the slope of the tangent line at x = 6. for function f(x) = x?tan(2x) %3D

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Q: Use implicit differentiation to find given the relation arctan(5x + y) = 5x2. dx

A: First do some simplification of given relation than use the chain rule of derivative and simplify.

Q: Find the tangent to y = x-x+10 at x 3.

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Q: Estimate the slope of the tangent line to f(x) = tan(x) at the point x = 9(pi)/4

A: Given :f(x) = tan (x)To determine the slope of th tangent line to f(x) at x = 9π4

Q: At what points are the functions continuous? = |x - 1 | + sin x

A: y=|x-1| is continuous for all values of x y=sinx is also a continuous function.

Q: Graph two full periods of the given tangent or cotangent function.

A: Given, y=-tanx-π4

Q: Find the slope of the tangent at (0, f(0)), for the function, f(x)=/cos (2) + e

A: We have to find the slope of tangent at 0,f0 for the function: fx=cosx+e-x Here point is given as…

Q: Find the tangent line to y = tan x + 9 cos x at x = n.

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Q: Determine the equation of the tangent line to f(x) = sin(x) at x = π/3

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Q: What is the equation of the tangent line approximation to the graph of a function f at the point (c,…

A: Equation of the tangent line approximation to the graph of a function f at the point (c, f(c)).

Q: Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form…

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Q: Find the equation of the tangent line of the function tan (xy²) = 2xy, a J absoleto 700 nu at x = π.

A: Let's find equation of tangent line of given curve at x = pi.

Q: Does the line tangent to the graph of f(x) = sin(2x) +5x at x = lie above or below the graph of f?…

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Q: tanh" (cose 3x

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Q: At what point will the tangent line to the curve y = ln x + 2 tan−1 x be horizontal?

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Q: Find the slope of the line tangent to the curve at the given point y%3D25 sin x; x = F/3

A: We find dy/dx

Q: Find all points the graph of f(x) = 2 sin x + sin?x where the tangent line is horizontal on

A: Solved below

Q: Find an equation of the tangent line to y = 7 tan(x) at x = 4

A: The given function is y=7 tan(x) at x=5π4

Q: Graph two periods of the given tangent function y = (1/2) tan 2x.

A: We know that, tangent's tanx and cotangent's cotx function have periods depicted by πk, where k is…

Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (0) ? y = x +;…

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Q: Find the equation of the tangent line to the graph of f(x) = 5 sin(x) + 6 cos(x) at x = equation: in…

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Q: Find an equation of the tangent line to y 7 tan(x) at x =

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Q: Find the equation of the tangent line to the function y=sin(x)cos(x) at x=4pi/3

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