Sketch the line tangent to f at the point corresponding to x = -1. Label it as T.

Q: Find the equation of the line tangent to the graph of f a

A: Given, f(x)=2+lnx4; x=e

Q: Find the slope of the tangent line to the curve a? – 2xy + 2y° - 63 at the point ( – 3, – 3).

A: Given : x2 - 2xy + 2y3 = -63

Q: Write an expression for the slope of the tangent line to the  curve y − f(x) at the point (a,f(a)).

A: Given: The equation of curve is: y=fx Given point is a, fa.

Q: Find the slope of the tangent line to the curve - 3a? + xy + 3y³ = 45 at the point (– 3, 3).

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Q: find the slope of the line tangent to the graph of f at P.

A: Given,

Q: Estimate the slope of the tangent line at the point indicated. f ( t) = 12t - 7; t = -4

A: Then to find the slope of the tangent we find f'(-4)

Q: Find the equation of the tangent(s) to the curve x =

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Q: Find the equation of the tangent line to the graph of the function f (z) = (22 +9) (z – 3) at the…

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Q: Find the slope of the tangent line to the curve - læ? 3xy – 4y 144 at the point (3, 3). Ouoction ||

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Q: Find all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

Q: Find a point in the second quadrant on the curve 3x2 + 4y? + 4xy = 24 where the tangent line is…

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Q: Let b(x)=h' (x), find the tangent line to b(x) when x = 6 .

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = x – x; x = 4 O…

A: Given curve is Differentiating with respect to x , we get Now, we will find f(4) and f'(4)

Q: Find an equation of the tangent plane to the graph of f(x, y) = at the point (2, 9). y Z =

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Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: Find the points on the curve where the tangent is horizontal or vertical. x = t3 − 3t,    y = t2 −…

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Q: Let y(x) = . Estimate the slope of the tangent line of y(x) at the point æ = 0 : a+2

A: Solution

Q: Find the slope of the tangent to the curve f(x)=Jx - at (1,– 2). а. 5.5 b. 12.5 С. 13.5 d. 10.5

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Q: Find an equation of the tangent plane to the graph of f(x, y) = xy3 + x2at (2, -2, f (2, -2)).

A: fx, y=xy3+x2 Partially differentiating with respect to x, keeping y as constant, we get fxx,…

Q: Find the equation of the line that is tangent to the curve r = r In y, I> 0, at the point (1.e).

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Q: Find the equation of the tangent to the curve r = θ when θ = π/2

A: Given problem:- Find the equation of the tangent to the curve r = θ when θ = π/2

Q: Let f be the function given by f (x) = 3*. For what value of x is the slope of the tangent line to…

A: Given, fx = 3x  We have to find the value of x at which the slope of the tangent line to the curve…

Q: Determine the constant c such that the straight line joining the points (0,3) and (5.-2) is tangent…

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Q: Find the coordinates of the point Pin Figure, at which the tangent line passes through (5, 0).

A: Given figure is  where suppose that the coordinate of point P is P=a,b

Q: The equation of the tangent line to the curve a? +y = 16, at (4,-13) is 4 13 13 (x – 4) + 13 4 4 y =…

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Q: At what points is the tangent horizontal or vertical?

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Q: Pls help ASAP

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Q: Find the slope of the tangent line to the curve - 2? + 4xy – 4y° = 44 at the point (– 2, – 2).

A: On solving this we will get

Q: Find the equation of the tangent to the following curve at the point where x = 1 y=Vx

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Q: Write an equation for the tangent line at (c, f(c)) f(x)=sqrt(x); c=4

A: Given function is x Slope of f(x) at any point is given by, m=f'(x)

Q: Find the slope of the tangent line to the curve – 2x? – 2xy 19 at the point (4, – 3). Preview

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Q: Find the slopem and an equation of the tangent line to the graph of the function f at the specified…

A: Given: fx=x2x+8; 2,25 To find: Slope (m) and equation of the tangent line to the graph of the…

Q: Let 11 f(x) = 4x + 5 Find an equation for the tangent line to the graph of flat z = 71 Tangent line:…

A: Given : fx = x-114x-5

Q: Determine an equation for the line tangent to the function at x-e. O Al y--) TT O B) y--) 1 (x -e)…

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Q: Let f(x) 2, -) | (- The slope of the tangent line to the graph of f(x) at the point( is The equation…

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Q: : Find an eguation of the tangent Line to the graph of P" at (12, f (12) where fox)= sx*+2x+9 %3D

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Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y = X² –2× at the…

A: The definition of the slope of the tangent line at x=c is given by: limh→0fc+h-fch Given: y=x2-2x…

Q: Find all values of x where the tangent lines to y = x and y = x° are parallel.

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Q: Determine the equation of the line tangent to y = x + tan x at the point (T, T).

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Q: Let y(x) = 2. x+2 Estimate the slope of the tangent line of y(x) at the point a = 0:

A: The given function is: y(x)=1x+2

Q: Find the slope of the tangent to the curve f(x)=vx at (1,-3). O a. 7.5 O b. 4.5 O C. 8.5 d. 9.5

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Q: Determine the Cartesian equation of the tangent line to C1 at the point where θ = π/2 .

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Q: Find the slope of the tangent line to the curve la? + 4xy + 2y 32 at the point (- 4, 2). -

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Q: Find the slope of the tangent line to the curve - la2 – 3xy + 3y° = 29 at the point (- 1, 2).

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Q: Find the equation of the tangent line to the function f(x) at the r-value r = 1, and write it in the…

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Q: Show that the line y = mx + b is its own tangent line at any point (x0, mx0 + b).

A: Given:Show that the line y = mx + b is its own tangent line at any point (x0, mx0 + b).

Q: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: Estimate the slope of the tangent line to the graph of the following function at the point r = -6. f…

A: Given:  f(x)=x3 To Find: Slope of tangent line of the given function at x=-6

Q: Find the tangent to the curve a"-'y = x"

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: image attached

A: Use chain rule: