The slope of the tangent line to f(x) = cos(x) · sin(x) at x - 2т is

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: Write the equation of the tangent line to the curve “ sin x cos y + y = π − 3x sin y ” at x = 0 .

A: Given: sin x cos y+y=π-3xsin y at x=0 To find the equation of the tangent line. The formula for…

Q: Find an equation of the tangent line at the point specified. y = 4 sin x + 6 cos x, X = 0

A: To find An equation of the tangent line at the point specified

Q: Find the equation of the tangent line to sin-(x - 2y) = 2xy – 1 %3D (1). at the point

A: Given,            The equation of the line is sin-1x-2y=2xy-1 and the point is 1,12.We know that,…

Q: Show that the tangent lines to the curve y = (pai sin x)/x at x = pai and x = -p ai intersect at…

A: Given:

Q: π Find the equation of the tangent line to the curve y= Jx² –sin-(4x) at x =-. 4

A: We are given the equation, y=x2-sin24x at x=π4. Here,           dydx=x2-sin24x'…

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: Find the slope of the tangent line to x2y2+x sin(15y) = 4 at any point (x, y) on the curve.

A:

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

A: given function is                                                    y=sinsinx tangent at point 2π,…

Q: Find the equation of the tangent line to the curve y = sin x cos x at x = π/4 (Coefficients must be…

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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…

A:

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 equation of the tangent line to f(x) =1 – x² at (1,0). -

A: here we use formula  y-y1=m(x-x1) at point (1,0)

Q: Find the equation of the tangent line for f (x) = 2 sec(z) at z = 6

A: To find out the equation of tangent line.

Q: Find the equation of the tangent line to sin-1(x – 2y) = 2xy – 1 (+) 1, at the point

A: Given:- Sin-1(x-2y) = 2xy-1 To find :- Equation of tangent line at point (1, 1/2)

Q: Determine the equation of the tangent line(s) to f (x) = sin x tan 2x at x = Use exact values

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Q: Find an equation of tangent line to the graph of f(x) = 2 sin x + cos 2x at (π, 1).

A:

Q: Find an equation of the tangent line at the point specified. y = 4 sin(x) + 6 cos(x), x = 0

A: We have to find equation of tangent line

Q: Find an equation of the tangent line at the origin to the curve 1+ sin(x + y) = xy + cos y.

A:

Q: f (z) = sin (3,/7) at the point 72,0)

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Q: Find the equation of the tangent line to the curve y sin(2x) = x cos(2y) at the point (5,).

A:

Q: Find the points on the interval [0, 2π) where the graph of the function  f(x) = 2 sin(x) + sin2(x)…

A: Given:f(x)=2sin(x)+sin2(x),       [0,2π)

Q: Find the slope of the tangent line to the sine function at the origin. y y = sin(3 x)

A: Slope of tangent line to the curve is given by first derivative of curve at given point .

Q: Determine the equation of the line tangent to y = (sin x)²(cos x) at the point (5,0).

A:

Q: Find an equation of the tangent line to ln(2x-y+1) + cos(xy-2)=1 at the point (1,2)

A: Given:

Q: find an equation of the tangent line at the point specified. y = ex cos x, x = 0

A: Given- y=excosx To Find- An equation of the tangent to the above curve at the point x=0.

Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

A:

Q: Find the slope of the tangent line to f(x)=(8x-6)cos(x) at x=0.

A: The given function is: fx=8x-6cosx To find the slope of the tangent line at x=0.

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: Find the equation of the tangent line of f (x)= x² In x at x=1.

A:

Q: Give the equation of the tangent line to the graph of 3sin y − ln(e sech x) = tan−1(x2y) + x/3 at…

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Q: Find the slope of the tangent line to the function f(x) = tan(cos(ax)) at x =π/2a. Leave your answer…

A: According to chain rule of differentiation ddxfgx=f'gx·g'(x) . Now using this rule differentiate the…

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

A:

Q: Find the equation of the tangent line at the given point. 4x = -5xy + 4y at (1,–4) y = arccos(5x) at…

A: See the calculation below

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: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find the slope of the tangent line at x=3 for f(x) = 6x^1.52 - cos(2x^2) + square root of 5

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Q: Find an equation of the tangent line at the point specified. y = ex cos x, x = 0

A:

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

A:

Q: The slope of the tangent line to the graph of xy = In(x² + y²) at the point (1, 0) is

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Find the equation of the tangent line to y = g(x) =x? + 2 cos(x) at the point where x= 2

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Q: Find an equation of the tangent line to y = f(x) arctan(x) at = V3. x =

A: We have to find equation of tangent line

Q: Find the equation of the tangent line to the curve a(x) = 3 sin-x+ In(x² – 5x +1) – e**-6x at x = 0

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

Q: 3. Find the equation of the tangent line to f(x) = 2x · sin (x) at the point (5, ).

A:

Q: Find an equation of the tangent line to y = 9 sin(x) at x = *.

A:

Q: The slope of the tangent line to the curve 2xy + T cos y = 2n at point (1,“) is:

A: The given equation is 2xy+π cos y=2π and the point is 1, π2. Evaluate the slope  y' using implicit…

Q: Find the slope of the tangent to the curve y=(cos 3x)/( 2-ln(2x+1) ) at x=0

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Q: Find the slope of the line tangent to the graph of y = sin-1 x at x = 0.

A: y=sin-1(x)

Q: Determine the equation of the tangent line to g(x) = sin(6x) at x = A.

A: Given ,  g(x) = sin(6x) at x = π  We have to find the equation of the tangent line  g(π) = sin(6π) =…