> Question 1 of 16 27T Find an equation of the tangent line to f(x) = 7 cos(x) at x = 3 (Let y f(x) and express the equation of the tangent line in terms of y and x.) equation

Q: Find the equation of the tangent line to the curve y= 3 sec z - 6 cos at the point 3 The equation of…

A: Equation of tangent line : y - y0 = m ( x - x0) Here m is a slope .

Q: y = sec² 0 – tan² 0 %3D -

A: Using Trigonometry identity ,

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

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Q: Question 1: Verify that the point 4 ' ,- ) is on the curve x Sin2y = y cos 2x . Use implicit…

A: We have curve xsin2y = ycos2x and point π4, π2If this point is on the given curve, then it will…

Q: Find equations of the tangent line and normal line to the curve at the given point. y = 6 cos x , (…

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Q: y = sin³ x cos x sec 4x y = tan 4x

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Q: 4 cos z at the point (5,2). The Find the equation of the tangent line to the curve y = 2 sec z…

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Q: Find the equation of the tangent lines to the curve y = sin x at x = -1, A, and Graph the curve over…

A: We have to find the derivative of the function first.

Q: 2xy π Find the equation of the tangent line of the function tan (xy²) = " at x = π

A: This question is based on finding tangent equation while calculating slope.

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point , 4). The equation of…

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Q: The slope of the tangent line to the curve y = 4 at the point ( 3, 4 is: 6. The equation of this…

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Q: Find the derivative of the trigonometric function.

A: The given function is y=31-sinx2cosx

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4…

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Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (₂ The equation of this…

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given, y=coshtan-13x

Q: Question 4 please

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Q: please answer the question provided in the image and show all work. thank you

A: The given function is,

Q: 5. Find the equation of the line (in Cartesian coordinates) tangent to r = 1– sine at the point (5).

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Q: at the point (3pi/4, -1/2) on y= sin(x)cos(x).  Find the slope of the tangent line.

A: Divide and multiply the given function y= sinxcosx by 2.

Q: Find an equation of the tangent line to the curve at the point (2, 0). y = ln(x2 − 3)

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

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Q: Find the derivatives of the functions y = 1/sin2 x - 2/sin x

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Q: Find an equation of the tangent to the curve at the given point. x = cos(t) + cos(2t), y = sin(t) +…

A: Given : The equation of the curve is  x=cost+cos2t y=sint+sin2t To Find : Find the equation of the…

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: 29. Find equations for the lines that are tangent and normal to the curve y = V2 cos x at the point…

A: y=2cosx ,   π4, 1 Differentiating with respect to x, we get dydx=2-sinx=-2sinx Now slope of the…

Q: Find the equation of the tangent line to the curvey = 4 sina at the point (¹²). The equation of this…

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Q: Find the equation of the tangent line to the curve y = 4x cos a at the point (7, – 47). The equation…

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Q: 2+ cos x 10. Find the equation of the line that is tangent to the curve at the point (7, 1/2) .…

A: We have to find the equation of tangent line  First find the derivative of given function at given…

Q: Find the derivative of the given function: 1. y = --cot3(2x) + cot(2x) + 2x 3 secx 2. у %3D 1+tanx…

A: We have to find derivative Cot x = -cosec² x  Tan x = sec² x Cosec x = -cosec x cot x

Q: 6. In(x*y?) %3D х* +уз 7. У- Arccos(e2x)

A: Given In(x3y2)=x2+y3y=cos-1(e2x)we need to find the second derivative of the given equation

Q: Find the equation of the tangent line to the astroid x = cos° (0), y = sin³ (0) at 0 = 5. (Express…

A: The given equation of the astroid:x=cos3θ and y=sin3θWe need to find the tangent line to the astroid…

Q: Find the equation of the tangent line to the curve y = 4sec z – 8 cos z at the point 4). The…

A: We can sole this as follows:

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex cos(x),    (0, 9)

A: y=9excosx Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Question 2: Compute the derivative of y = arcsin(cos(arctan(r))).

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Q: Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at a) The equation…

A: Given: The graph of fx=1x6 To find the equation of tangent line at a) 1,1 b) 3,1729 c) -2, 164

Q: Find an equation of the tangent line to the graph of the function at the given point. function y = 7…

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

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Q: Find the equation of the line that is tangent to the curve y=3x cos x at the point (π,−3π).The…

A: Given that

Q: Find the equation of the tangent line to the curve: sin-' (2x – y) – cos-(x – 2y) + = () at the…

A: Equation of tangent at point (x1,y1)  (y-y1)=dy/dx(x-x1)

Q: The derivative of y = 3 cos (V1- x²) + (1-x²) 2 can be written as 3 1–x² sin ( /1-x² ) - (1-x² ) 3x…

A: This can be done as follows:

Q: an equation of the tangent line to the curve at the point (2,

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Q: [4][Sec 2.6] Find the derivative of the function but do not simplify: f(x) = cos(sin 3x) .

A: solution

Q: Find the equation of the tangent lines to the curve y = sin x at x= -, x, and Graph the curve over…

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Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: Find the equation of the tangent line to the curve y = 5 tan at the point (7/4,5). The equation of…

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Q: Find an equation of the tangent line to the graph of the function at the given point. function y = 7…

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Q: QUESTION A.5.1 At x = 0, what is the equation of the tangent line of 3sin (y) – In(e sechx) =…

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Q: d. tion to prove that (cscx) dx = – CSC X COt x. 86. Use the quotient rule and the derivatives of…

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Q: (5,2). Find the equation of the tangent line to the curve y = 2 sec x 4 cos x at the point The…

A: Given:     y = 2 sec x  - 4 cosx      Point : ( π/3 , 2)

Q: 22. Find the equation of the tangent line to the graph of the equation tan-'(x + y) = x² + at the…

A: The equation is given by, tan-1x+y=x2+π4x+y=tanx2+π4y=tanx2+π4-x The slope of the tangent to the…