8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x = 3. k =

Q: 7. Find the slope of the tangent line to the graph at (1,1): x²y² – 9x² – 4y² = 0 %3D r-9r-4y = 0…

A: find the slope of the tangent line to the graph at 1,1; x2y2-9x2-4y2=0 differentiate the equation…

Q: 7. Find the equation of the tangent line to the graph of the function 4xy + 5 In y = 28 at the point…

A:

Q: 1. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5 – x² AT (3,–4).

A: f(x)=5-x2 To find the slope of tangent, we can use two alternatives (1) Direct derivative (2)…

Q: 1. Determine the approximate slope of the tangent to the curve 2х-1 f(x) = at x = -3, to 1 decimal…

A: Given query is to find the slope of the tangent.

Q: 1. Determine the points where the slope of the tangent to the curve: a. f(x) = 1- 3x² is equal to 5…

A:

Q: 1. Find the equation of the tangent and normal line to the curve f(x) =x' - 3x +2 at (1, 0).

A: Given the function f(x) :

Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).

A: Given- y=4x1+x2 To find- The equation of the tangent at the point a 0,0 and b=-1,-2. Identity Used-…

Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

A:

Q: What is the slope of the tangent line that touches the graph of In(y) +e-=3y– 4x at the point A В) з…

A: slope , m=dydx.

Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

A:

Q: Find the slope of the line tangent to the curve x - 3xy + 4x = 2 at x = 1. -5/3 O 2/3 O 1/3 O 4/3

A: The given curve is: x3-3xy+4x=2 We need to find the slope of the line tangent to the given curve.…

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

A: Given: fx=4xx2+6 We need to find the equation of the tangent line to the graph f(x) at 2,45

Q: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

A:

Q: 4. Find an equation of the line tangent to g(x) = 3x² - x +1 at x= 1.

A: Given function

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: 2. Find the equation of the line tangent to x* – 3xy+ y³ = 1 when x = 0.

A:

Q: 9. If h(1) = 2 and h'(1) = 3, find an equation of the line tangent to the graph of h at x = 1.

A:

Q: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

A:

Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: 4. Find the equation of a line tangent to f (x) = –x² – 4x at x = -1.

A:

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

A:

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x is 4

A:

Q: 12. Find the x-coordinate of the point on the graph of y= Vx where the tangent line is parallel to…

A: From the given data: x=1 x=4

Q: 18. At what point on the graph of f(x) = 2xe" is the tangent parallel to the line with equation y=…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 19. If an equation of the tangent line to the curve y = ƒ(() at the point where a = 2 is y = 4x - 5,…

A: The given equation of  tangent line at curve y=f(x) at a point is y=4x-5. Now, at point a=2 tangent…

Q: If the instantaneous rate of change of g(x) at (-1, -2) is 1/2, write the equation of the line…

A:

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

A:

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line…

A: Slope of tangent line is ½. So the equation is of the form:

Q: 25.For which x – values does the graph of y = e3x³-2x-4x have a horizontal tangent line ?

A:

Q: 13. Find the equation of the tangent line to the curve x'y' + 4.xy = 12y at the point (2,1).

A:

Q: 4. Find the equation of the tangent line to the graph of x3-3xy+ y2 +19 =0 at the point in the…

A:

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

A:

Q: 1. Find in Barrow's way the slope of the tangent line to the curve 2x?y + 5x - xy? = 0 at the point…

A:

Q: 4) Find the equation of the line tangent to h(x) = (2-x)(x³ +4x-4) at x=1.

A:

Q: 8. What is the rate of change of the slope of the tangent line to the curve y =x – 3x2 +1 when x =…

A:

Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

A:

Q: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

A: Given query is to find the equation of the tangent.

Q: VI find the tangent lines to the curve y= x-14x+17x+40 perpen dicular to the line x-7y = 4

A:

Q: determine the constants a and b so that the line y = -3x + 4 is tangent to the graph y = ax^3 + bx…

A:

Q: 2х — What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the…

A:

Q: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.

A:

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: 3 Find the slope of the tangent to the graph of f(x) = /x+5 at the point where x= 4.

A:

Q: 3. Find the slope of the tangent line to r²e♥ + y²e² = 2e at (1,1).

A: Please see the answer below

Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)…

A: Slope is already given. And for slope we have to find dy/dx  and then simplify.

Q: 9) Find the equation of the tangent line to: y = (1+x) e*when x=0

A:

Q: 1) Find the slope of the line tangent to the graph of y=x²+1at(2, 5).

A:

Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

A:

Q: 4. Find the slope of the line tangent to the graph of the equation -ey +y° = 7+ 2x at the point…

A: Given query is to find the slope of the tangent at given point.

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

A: