43. Find the function whose tangent line has slope (x + 1)e¯* for each value of x and whose graph X- passes through the point (1, 5).

Q: 3 Find the slope of the tangent line to x/y +yVx = 10 at (1,8).

A: given: x3y + y3x= 10differentiate given equation with respect to xx3 ddxy + y ddx x3+ y3ddxx+ x ddx…

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

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: Find an equation of the tangent line to the graph of the function at the given point. ex + e-X y = 7…

A:

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: Section 2.4 Chain Rule Please show & explain all work, thank you.

A: Multiply both sides by x^2.

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

Q: 2h lim h→0 h(/2x+2h+/2x)

A: Given, limh→0 2hh2x+2h+2x The definition of derivative is given by fx=limh→0 fx+h-fxh

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

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

A:

Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

A:

Q: If tangent line to y=f(x) at the point (4,3) also passes through the point (0,2), what is the value…

A: Given: If tangent line to y=f(x) at the point (4,3) also passes through the point (0,2) To find: The…

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. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: 4. A. Use the tangent line to find a linear approximation to the function f (x) = Vx near x = 64.…

A:

Q: 5. Write the equation of the tangent line to the curve of y = e³x + cos(-x) at the point (0,2).

A:

Q: The slope of the line tangent to the graph of y = In(x²) at x = e² is %3D

A:

Q: 14. Find the equation of the line tangent to the graph of f(x) = 2x3-x + 1 at x = -1. %3D

A:

Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

Q: 2. Find the points on the graph of f(x) =- where the tangent line is horizontal. x2+2

A: Given f(x)=xx2+2we want to find the point on curve where tangent is horizontal

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

A:

Q: Find f(x) if f(1) = -1 and the tangent line at (x, f(x)) has slope 3ex+7 f(x)= ?

A: Given:

Q: The slope of the tangent line to the curve y = 4/x at the point (3, 4/3) is: Must be written in y =…

A:

Q: 3. Find the equation of the tangent line to the curve x'y+y°x= 30 at point (1,3).

A: Solve the given problem.

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: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: 9) If f(x)= x' – 3x, find the equation of the tangent line at x = 2.

A:

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

A:

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

A:

Q: 2 Find the slope of the tangent line to у 3 at X = 1 3 - х

A:

Q: 4. Find the slope of the tangent line to the function f(x)= +3; x+2 at x = 4 5x-10

A:

Q: on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0

A: We have to find tangent line to y , first we will find  value of y at x=0.

Q: 8) Find the equation of the tangent line to the graph of g(x) x3 7 at x = 2. -

A:

Q: 4. Find the tangent line to the curve y = In(x + x + 1) with slope 1. (2점)

A:

Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

A:

Q: 7. Determine the equation of the tangent to the function E-2 f(x)=- at x= 1.

A:

Q: 4. Find the tangent line to the function f(x) =;xVx² + 5 at the point (2,2).

A: Tangent line of a function:  Differentiate the equation of the curve Substitute the value into the…

Q: 2) Find the tangent line to y2 = x at the point (4, –2).

A: Given: y2=x…

Q: Find f(x) if f(2) = 3 and the tangent line at x has slope (x - 1)e - 2x, - 2x 3 fx) 2

A:

Q: Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 4. y =

A:

Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

A: We have given equation of graph r=2-2cosθ  We have to find slope of the tangent line to the graph…

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

A: Given:- y = (1+x2)-1 To find:- Point where tangent line on given have greatest slope

Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…

A:

Q: Find the slope of the line tangent to the curve y = cos2 x at the point(−π/3 , 1/4)

A:

Q: What is the derivative of the exponential function a x, a >0 and a ≠ 1? What is the geometric…

A: The derivative of the exponential function ax is as follows.

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

A:

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: Find the equation of the tangent line to the graph f (x) = x^3 ln x at the point (1, 0)

A: Tangent line equation.