Does the graph of Sx²sin (1/x), x ± 0 f(x) = lo, x = 0 have a tangent line at the origin? Give reasons for your answer.

Q: 4. Determine the equation of the tangent line at the indicated point a) y = cos x at x = 7 b) y =…

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Q: Find a formula for the error E(x) in the tangent line approximation for f(x)=√(1+x) near x=a=0 ?

A: Differentiate the function f with respect to x, to find f'(x). Substitute 0 for x in fx=1+x and…

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = x ln(x…

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Q: Find the equation of the tangent line to the curve point (1,0). f(x) = x – e²²-1 at the

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Q: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

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Q: Find the tangent line to g (x) 16 4T at z = 4.

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Q: Find the equations of the tangent lines to the graph of y = ln  x  at x = 1 and x = -1.

A: To find equation of tangent lines at x=1 and x=-1f(x)=lnx

Q: The slope of the tangent line to the curve tanxy) + y= 2 at x=0 is O a 2 O b.-2 Oc-1 O d. 1

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Q: Find the equation of the tangent line and the normal line to the graph of the function b) f(x) = x…

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Q: Find an equation of the line tangent to f(x) = xcos x at x=-4. (Round coefficients to 3 decimal…

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Q: Find the question of the that is tangent to the curve y=-3 cos2x at x= n/6. Express with exact…

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Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

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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 of f(x) = 8/x+3 at the point (4, 19) . Express your answer in…

A: Find the equation of the tangent line of fx=8x+3 at the pint (4,19).

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

A: Given curve:

Q: An equation of the tangent line to the curve y = sin(x) at x = Зп /4 is %3D y = - (х — Зп /4) .

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A: We will find all the points on the curve at which the tangent line is horizontal using calculus as…

Q: The slope of the tangent line to the graph of the function y= Ttx- cotx at x=0 is O T+1 O T-1

A: Solution is given below:

Q: Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

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Q: Find the equation of the tangent line to y = 14e cos(x) at x 0. %3D

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Q: Find the values of x between 0 and 2n where the tangent line to the graph of y = sin x cos x is…

A: The given function is y=sinxcosx. Since the slope of the horizontal line is zero, so the slope of…

Q: Find an equation of the tangent line to the curve at the  given point. y = x2 ln x, (1, 0)

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Q: Does the graph of Sx² sin (1/x), x # 0 lo, f(x) = x = 0 have a tangent at the origin? Give reasons…

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

Q: Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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Q: Find the equation for the tangent line to the curve y=f(x) at the give x-value. f(x)=ex^2-1 at x=1

A: equation of the tangent at the point ( x1,y1) with slope  y - y1 = slope ( x - x1)

Q: Find the equation of the tangent line to the curve tan(x – 1+ 2y) = e + 3x – 4 at the - point (1,0).

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Q: What is the tangent line approximation to e* near x = 4?

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Q: Find an equation of the tangent line to the graph of f(x) = e×/2 In(x) at its inflection point.…

A: The point of inflection is the point where the second order derivative of the function becomes zero.…

Q: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

A: We have to find the equation of the tangent line of the given function at the given point   The…

Q: Find the slope of the tangent to the curve y2 ln(x) + x2y = 7 at (1, 7)

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Q: The slope of the tangent line to the curve In(zy) = y² – 1 at the point (1, 1) is m =

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Find an equation for the tangent line of e + 2xy = 2x – 1 at (1,0).

A: Topic- application of derivatives

Q: Find the equation of the tangent line to the curve at point (0, ln 2).   y=ln(e^x+e^4x)

A: the equation of the given curve is: y=lnex+e4x we have to find the equation of the tangent line to…

Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

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Q: Determine the equation of the tangent line to the graph of g(x) = Sm, [1 – sin(ne')]dt at %3D In x…

A: We have to find the equation of the tangent line to the graph of gx=∫lnx01-sinπetdt at the point…

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

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Q: (b) Find the equation of tangent and normal to the curve f (x) |2 – sin(2x) at x 4

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Q: F(x) = x · S, 2e' cos-lt dt at x = 1 In x

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Q: Does the graph of the function y = tan x - x have any horizontal tangents in the interval 0 sx <2n?…

A: We get the slope y' of the tangent to the function y=tan x-x by differentiating it with respect to…

Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value.   f(x) = x ln(x…

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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: x =t - sint y = 1- cost

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Q: Find the equation of the tangent line to the graph of F(x) = c2x²+2x+1 sech a ev dy at x = 0.

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Q: The slope of the tangent line to the graph of y = e3 at x = In 2 is

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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 the values of x between 0 and 2π where the tangent line to the graph of y = sin x cos x is…

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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) =…