Question 1: Verify that the point 4 ' ,- ) is on the curve x Sin2y = y cos 2x . Use implicit differentiation to find dy/dx and the slope of the function at the given point. Find the line that is tangent to the curve at this given point.

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

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Q: Find the equations of a Tangent line in a given curve to the given value of x y=tan^-1 x, x=1

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 so the point on the…

Q: 8. Find the equation of the line tangent to the graph of y tan (sin) when z= V2/2.

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Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

A: To find the equation of the tangent line, first, we need to find the slope of the tangent line. The…

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

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Q: d). Find an equation of the tangent line to the graph of sin(x+ y)= y´ cos x at () and graph this…

A: Given that: sinx+y=y2cosx   at   π2,π2 To calculate the slope of tangent line,…

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Q: Verify that the point (E,) is on the curve y cos) = 2x + 2y. Use implicit differentiation to find…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

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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: 1- Find the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point. x = N.

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

Q: Find the equations of a Tangent line in a given curve to the given value of x. * -1 y =tan x, x = 1

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x) – 2 cos(x), P-1) y…

A: Given: y=sec(x)-2cos(x)

Q: Find an equation of the tangent line at the given point on the curve. (a) x = 2 – 3 cos 0, y = 3+2…

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Q: Find an equation of the tangent line to the curve at the given point. y = sin x + sin²x, (0,0)

A: We have to find the equation of tangent line to the given curve at the given point: y=sin x+sin2 x,…

Q: At any point (x,y) on a particular curve, the tangent line has a slope equal to 1+ sin (x 5) If the…

A: At any point (x,y) on a particular curve, the tangent line has a slope equalto 1+sinx-π2, the curve…

Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

A: y=sinx2

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Suppose that the tangent line to the graph of f(x) = a") at a = 1 is equal to the tangent line to…

A: First of all, we find the equation of a tangent line to the curve: g(x)=-4-sin(1-e5x) at x=0, Note…

Q: Find an equation of the tangent line to the graph of f at the given point.            f(x) = (1 +…

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Q: Find an equation of the tangent line to the curve at each given point. x 2 3 cos e, y = 3 + 2 sin e…

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Q: Find the equation of the tangent line to the curve 10 y =- -3 tan(10z) + 7 cos(4x) at z = 0 The…

A: We have to find

Q: What is the equation of the line tangent to the curve e' + cos(x) = 1 at the point (,0

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Q: Find an equation of the tangent line to the curve at the given point. 3 y = sin(x) + cos(x)' Р%3D…

A: Given,  Equation of line: y = 3sin x + cos x We need to determine the equation of tangent at point…

Q: 11. Find the equation of the tangent line to the curve 2 sin(ry) = x at the point (1, 7)

A: This curve is given by sin(xy)=x/√2                  sin⁡(xy)−x/ √2. =0  Inspecting the gradient at…

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Q: 1. Use implicit differentiation to find the equation of the tangent line to e**-x+y at x=0. The…

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Q: Find the equation of the tangent line for f(x)=sin-1(1/4x) at the point (2,pi/6).

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Q: 12. Find an equation of the tangent line to the graph of y=1+4 tan x at x=0.

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Q: Find an equation of the tangent line to the curve at each given point. x = 2 – 3 cos 0, y = 3 + 2…

A: Topic :- Application of Derivative

Q: Find the equation of the tangent line to the graph of the function f (x) = sin (3/7) at the point…

A: SOLUTION-

Q: 6. P=(0,9) Sin(x)+ Cos (x)

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Q: Find an equation of the tangent line to the curve at the given point. y = 2/sinx+cosx,    P = (0, 2)

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Q: Find an equation of the tangent line to the curve y=sin(3x) + cos(4x)   at the point (pi/6),…

A: Given equation is y=sin(3x) + cos(4x).

Q: 1- Find the equation of the tangent to the curve y = 2 sinx+ cos2x at the point x = 7.

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

Q: Find an equation of the tangent line to the curve at the given point. y = 2ex cos(x),    (0, 2)

A: To find the equation of tangent to the curve given:

Q: Find the equation of the tangent line to the graph of the function f(x) = sin ( 11 √x ) at the point…

A: The function is fx=sin11x. Find the slope of the tangent line at π2,0 by taking the derivative of…

Q: Use implicit differentiation to find the tangent line to the a) sin(Tru) +2u P(1 1)

A: We have,  a) sin(πxy)-xy2+2y=1     P(1,1)b) sin2x+cos2y=54      Pπ3,π4

Q: Use implicit differentiation (dy/dx) to find an equation of the tangent line to the graph of g(x) =…

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

A: f(x)=2 sin x+sin2x

Q: Find an equation of the tangent line to the curve at the given point. y = 3/sinx+cosx,    P = (0,…

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Q: Find an equation of the tangent line to the curve at the given point. y = 1 + sin(x) / cos(x),  (π,…

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Q: Find the equation of the line tangent to the graph of f at the indicated x value. y = 6 sin- 3x, x =…

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

A: First find the slope of the tangent line then write the equation of tangent line in slope intercept…

Q: Find an equation of the line tangent to the following curve at the given point. 1 5x 1- sin 0 2, 6

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

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Q: Find an equation of the tangent line to the curve at the given point. 1 + sin(x) y = (п, — 1) cos(x)

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Q: 1. Which differentiation rule is used to show ? -? sin y = cos y dx dx

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