19. Find an equation of the tangent line to the graph of f(x) = 2/x at (a) (1, 2); (b) (–1, –2); (c) (100, 0.02). See Exercise 16.

Q: 4. Find the equation of the tangent line to the graph of f(x)= 2x² – In Vx at x = 1.

A:

Q: 3. Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: Given  function

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: 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: 21. Find an equation of the tangent line to the graph of f(x) = x² - 2x at (a) (–2, 8); (b) (1, –1);…

A: fx=x2-2x

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: 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: 9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give…

A:

Q: 2. Find a point on the curve y = e 3x , at which the tangent line passes through the origin.

A: Solution: The objective is to find the point on the curve y=e3x at which the tangent line passes…

Q: 3. Find the equation of the tangent line to the curve x2 – 2x In y + 3y2 = 3e2 - 1 in the point (1,…

A:

Q: What is the slope of the tangent line that touches the graph of In y + e2=-1 = 3y – 4x at the point…

A:

Q: 3. Find the equation of the tangent line to the curve y = x³ at x=1.

A:

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

A:

Q: 5. Find the equation of the tangent line on x² + y? = (2x² + 2y² – x)² at (0, ).

A:

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

A:

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

A: Given function

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

A:

Q: Find an equation for the tangent line to the graph of y – 3xy + x2 +1 = 0 at the point (2, 1).

A:

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

A:

Q: 3) Find the equation of the tangent line to the curve 6y³ – xy² + cos (xy) = 7 - at the point (…

A:

Q: 2. Find the equation of the tangent line for the function 2 f(x) = x2 + - 3 at a = -2

A:

Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

A:

Q: What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point.12

A:

Q: Find the equation of the tangent line of e –z = 4x at z = 3.

A: Here we find equation of tangent at x=3

Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

A:

Q: Find the slope of the tangent line on the curve y = x3 - 2x2 – x at x = -2. -6 O -19 O 19 O 6

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

A:

Q: 1. Write the equation for both the tangent line and normal line to the curve y = 3x² – x +1 at the…

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

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

A:

Q: Fin the equation of the line tangent F(x) = xcos(x) + e^x at the point (0,2)

A:

Q: 8. Find the point on the graph y = x³ where the tangent line is perpendicular to the line 3x +9y = 4

A: We have to find the point where tangent line is perpendicular to the line 3x+9y=4.

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

A:

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

A:

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

A:

Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

A:

Q: 2. Find the equation of the tangent line to y at x = -5.

A:

Q: 3. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF 5x + 2xy + 4y² = 25 AT THE POINT (1,2).

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

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

A:

Q: . Find the slope of the tangent line at the point P of (x² + y² )° = 4xy; P(1,1).

A:

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

A: Given, fx=4xx2+6 Now we find the slope ddx4xx2+6 Now by using the quotient rule,…

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: Find the equation of the tangent line at the given point on the curve. x3 + 2xy – y2 = 11 at (2,3)

A: We need to find the equation of the tangent line at the given point on the curve. We have x3+2xy-y2…

Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

A:

Q: 1. Find the equation of the tangent line to x² – 3xy + y² = -1 at (2,1).

A: given that x2-3xy+y2=-1slope of tangent (m)= dydxdifferntiate the given curve with respect to…

Q: 2. Find the equation of the tangent line to the graph of 3x cos y = 1 + x² + /2y+ 1 at P(1,0).

A:

Q: 3. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF 5x + 2xy + 4y² = = 25 AT THE POINT (1,2).

A: Given: 5x+2xy+4y2=25

Q: Find the equation of the tangent line to the curvef (x) = 2x³ 3. - x at x = 2. o T(x) = 14 – 23(x –…

A: