1. Find the point(s) if any where f has a horizontal tangent line. у %3D УЗх + 2 cos x 0

Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

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: 134 Find the slope of the tangent line to the graph at the given point. Cissoid: 4y2 – xy2 = x³ %3D…

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Q: . Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

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Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: 7. If the tangent line to y = f(x) at (-1,3) passes through the point (2,1), find fl-1) and f'(-1).

A:

Q: 20. Show that -V3 is in the range of the tangent function by finding an angle 0 for which tan 0 =…

A: Given:  tan θ = -3To Find : The value of θTo Show:  -3 is in the range of the tangent…

Q: What is the slope of the tangent line to the curve given by x=sin(y) at the point (0, 37)? O-1 O 1 O…

A: Given x= sin (y). Slope of tangent line is  = dx/dy Differentiation of sine is cos .

Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).

A: To find the slope we need…

Q: Find the slope of the tangent line to the graph at the given point. (4 – x)y? = x³, (2, 2) Cissoid:…

A: Slope of tangent line =dydx(4-x)y2=x3differentiating w.r.t 'x'y2d(4-x)dx+(4-x)dy2dx =…

Q: Find the slope of the tangent line to the graph at the given point.

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: 2. Determine the slope of the tangent line to the curve f (x) = sin (x)cos (x) at the point where x…

A: For any given function f, the slope of the tangent line m is given its derivative. Differentiate the…

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

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Q: Find the slope of the tangent line for the curve r = 4 – 5 cos 0 when 0 6 %3D -

A: r=4-5cosθ

Q: There is only one point with a horizontal tangent line to the graph of the curve y = x + cos x in…

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Q: 9. Find the slope of the tangent line to the graph of f (x) = sin (cos 2x) at x = 1 A. -2(sin 2)(cos…

A: we have to find the slope of the tangent line to the graph of fx=sincos 2x at x=1

Q: Find an equation of the tangent line at the point specified. y = excos2 x, x = π/4

A: Given curve is y=excos2x. To find the equation of the tangent line at the point x=π4. Solution: The…

Q: 2. Find an equation of the tangent line to the graph of y =1+4 tan x at x 0.

A: Given:        y = √(1+4tanx)     At x = 0

Q: What is the sloe of the tangent line to the curve x = 3 sin y at the point (0, 2π)? 3. O O ا انت 3…

A: What is the slope of the tangent line to the curve x= 3siny at the point (0,2π) ?

Q: Find the slope of the tangent line for the curve r = - 6 – 5 cos 0 when 0 2

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Q: Find the slope of the tangent line to the graph at the given point.

A: Slope:  The slope of a line measures the steepness of the line. The slope is calculated by rise over…

Q: Find the slope of the tangent line to the graph of y = tan¬1 () at x = 4

A: The tangent of a curve at a point is a line that just touches the line at the given point such that…

Q: What is the slope of the TANGENT LINE to the given curve 1 y = x + at point where x.= -2

A: Slope of tangent is    m=dydxdydx=1-1x2

Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

Q: Find the slope of the tangent line to the graph at the given point. (4 - x)y? = x3, (2, 2) Cissoid:

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

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Q: Find the slope of the tangent line to the curve y = 3'¬^ at the point where X = 0. 2 In 3 00 O None…

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Q: -1 Where on the curve y = (196 + x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Determine the slope of the tangent line to the given curve at the specified point tan(x+y) = x;…

A: WE have to Determine the slope of the tangent line to the given curve at the specified point…

Q: Find the slope of the tangent line to the curve 5 sin(æ) + 3 cos(y) – 4 sin(x) cos(y) + x = 7n at…

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Q: What is the slope of the tangent line to cos(æ – y) = xe" at the point (0, ). O 1 -2 O None of these…

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Q: 5. Find the slope of the tangent line to the graph of r = 2-2 cos 0 when 0

A: Given equation of the curve - r = 2-2cosθSlope of the tangent to the curve is given by drdθ,drdθ =…

Q: Find the slope of the tangent line to y = sin x tan (즉) m =√3 2 m = T√√3 3 m = -√3 3 None of the…

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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: 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: Let y= 3 cos x-5 cot x+ csc x tan x, then the slope of the tangent line at x = is 4

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

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Q: Find an equalion of the tangent line to the curve at the given point. y= (1+x) cos x, Co, 1)

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Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,…

Q: Find the slope of tangent to the curve y=sin 4x +3x at (5, 35). None O 7 O 3

A: Note :- Steps to find slope :- 1) Find the first derivative of f(x). 2) Plug x value of the…

Q: 7. Find all x-coordinates where the tangent line to y = f(x) = sin(2x) – cos?(2x) is horizontal. -

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Q: 4. Find the equation for the tangent line to the graph of y = VT at a = 2. Remember to keep every…

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Q: 4. Find the slope of the tangent line to r = cos 0 at 0 = 3 %3D

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Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

Q: 7) Find the equation of the tangent line to the graph of f(x) = –sin(x) +3 at x = 4

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Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: (a) Find the equation of the tangent line to the curvey 2 sec x – 4 cos x at the point (÷, 2)

A: Tangent line to the curve y=f(x), where f(x) is a function of x at point x0, y0is given by:…

Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1.

A: Let's find.

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

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Q: 5 7. Find the slope of the tangent line to the graph of y = x² at the point where x = –

A: