(b) Write the equation of the line tangent to the graph of f(x) at z 1, and graph it below f(x) = }r² – 2r 1. -1 1. 3 -1 -2

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: 5. Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x²y – x…

A: Proceed as shown below...

Q: Find the equaiton of the tangent line for the function f(x)=x+3/x-3 at the point (4,7).

A: We find f'(x) using the quotient rule.

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: 8. Determine the equation of the tangent line to the graph of the lemniscate: 2(x2 + y2)2 = 25(x² –…

A:

Q: 3) Find an equation for the tangent line to the graph at the specified value of x. y=x²V5-x² ,x=1

A:

Q: 8 at x Find the equation of the line tangent to the graph of f(x) = 4x° + 2x2 -4x

A: we have to

Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection.…

A: Slope of the tangent is obtained by dy/dx

Q: find the function with the given derivative whosegraph passes through the point P. ƒ'(x) = 2x - 1,…

A:

Q: The equation of the tangent line to the graph of f(x) = Vx+1 At the indicated point (3,2) is:…

A: By using the derivative and slope intercept form required tangent equation is :

Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

A:

Q: 3. Find the equation of the tangent line to the curve y = x2 - 3x + 4 that perpendicular to the line…

A: we have to find the equation of the tangent line to the curve y=x2-3x+4 that is perpendicular to the…

Q: 3) Find the equation of the tangent line to the curve the point (1, 1). y²(2 – x) = x³ at

A: Given curve is : y2(2-x) = x3

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

A: Given function

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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: 8. Find the point of the graph of f (x) = xe-2x where the tangent line is horizontal. %3D

A:

Q: 3. Find the equation of the tangent line to the graph of f (x) =7-3x-x at x= 1 %3D

A:

Q: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

A:

Q: 8. Find the slope-intercept equation of the tangent line to f(x) = 3x² – 4x + 5 at the point (1, 4).…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = xsin(x),…

A: We tale ln on both sides then differentiate both sides with respect to x

Q: The slope of the tangent line to the graph of f(r) at the point (-7,5) is The equation of the…

A: Topic - equation and slope of tangent line to curve

Q: -2, find an If g(x) = xf(x), where f(3) = 4 and f'(3) equation of the tangent line to the graph of g…

A: Consider the given function gx=xfx

Q: (-8.-) Find the equation of the tangent line to the graph of f(x) =- at The equation of the tangent…

A: Given function and point is  f(x)=4x at  (x1,y1)=-8,-12

Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π3

A: As we know that: The first derivative of the function is equal to the slope of the tangent line to…

Q: 9. Find the equation of the tangent line at point (2,2) on the curve fx) = x²- 7x + 12.

A: To find the equation of the tangent line

Q: The slope of the tangent line of the graph of the equation xy2-3x² - 2y=-3 at the point (1, 2) is a)…

A: The given equation is xy2-3x2-2y=-3. The objective is to calculate the slope of the tangent line of…

Q: Find an equation for the tangent line to the curve y = xV 2x² - 14 at the point (3,6). O y- 6 = 14(x…

A: The equation of the tangent line to the curve is, y - 6 = 11(x - 3)  The detailed solution is as…

Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

A:

Q: 7. Find the equation of a line tangent to the graph of f(x) = cotx at x = π/4. Show all steps to…

A: Given :fx=cotx

Q: Find the equation of tangent line to the curve at the given point x2 + 2xy - y2 + x = 2 (1, 2)

A:

Q: 5) Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.…

A: The objective is to explain the reason definition of numerical derivative doesn't exist at x=2 in…

Q: 6. Determine the equation of the tangent to f (x) 2х-1 where x = 3 х-2 %3D

A: Differentiating the function w.r.t x and substituting the point gives the slope of tangent at that…

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: Find the equation of tangent and vertical line to the curve g=x+1/x at point (0,1)

A: First we want to check whether the given point is in the domain of the given function.

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

A:

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: 2 Determine the equation of the tangent line to the graph of f(x) = Vx-12x at the point where x -3.

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: 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: Find all points ( x,y) on the graph of f(x) = 3 x² – 4x with tangent lines parallel to the line y=…

A:

Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 9. Using first principles, determine the equation of the tangent line at point (2,2) on the curve…

A:

Q: 2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).

A:

Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

Q: 4. Find the equation of the tangent line to the function y = In (x² – 2) when x=3.

A: Question is solved.

Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3

A: