Find the equation of the tangent line to the graph of the function at the indicated coordinates. 1. f(x)= -2 -x² (2, -6) 2. f(x)= x - x² (0, 0) 3. f(x)= -3 +2x + x² (3, 12)

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we will find the slope and equation of tangent

Q: Find the equation of the tangent and normal line of the function y^3 +3xy + x^4 = 5 at the point (1,…

A: y3+3xy+x4=5 Differentiating with respect to x, we get…

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

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Q: . Find the equation of the tangent line to the curve y=(x-1)^ 5 (x+4)^2  at the point (2,36). The…

A: As our company guidelines we are supposed to do only first question please repost other question as…

Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16.…

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = (1 −…

A: The equation of the function  f(x) = (1 − x)(x2 − 3)2

Q: Find an equation for the tangent line to the graph of the given function at (- 2,6) f(x) = x? +2…

A: Given function is as below: f(x)=x2+2

Q: Find an equation of the tangent line to the curve at the given point. Y= x^3 -3x+2, (2,4)

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Q: ()- 3 The slope of the tangent line to the curve y at the point (7, is: Preview Enter a mathematical…

A: If a tangent is drawn to the curve y=fx at a point Px1, y1, then the slope of tangent is equal to…

Q: 10. The slope of the tangent line to a curve is given by f'(x) = 5x + 5x -8. If the point (0,4) is…

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Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 5 if g(5) = −4 and g'(5) = 3.…

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Q: 3 Find the equation of the tangent line to the graph of y(x) = 4(x – 1)° at x = 2. Equation of the…

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Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of…

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Q: a. Sketch the curve f(x) =x/(x-1)^2 b. Find the equation of the tangent line and normal line of the…

A: a) f(x)=x(x-1)2b) y3+3xy+x4=5 at the point (1,1)

Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) = –10x – 2…

A: given function :

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 1…

A: We need to find the slope of the tangent line to the function f(x)=-4x+1 at (-1, 5). By using slope…

Q: 21 at the point (1, 7). Find the equation of the line tangent to the graph of the function w(x) = x2…

A: Solve for the equation

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

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Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) - (x? -…

A: Solve the following

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

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Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4.…

A: Topic:- function and derivatives

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Find the equation of the tangent line to the graph at the indicated point. f(x)=x^2-1 ; x=8

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 9x − 2x2…

A: Given function f(x) = 9x-2x2

Q: find the slope of the curve y=x^2-4x-4 at the point P(3,-7) by finding the limiting value of the…

A: Now let the secant line passes through the points  Now slope of the secant line is,

Q: 5. Suppose f(-2) = 3, f'(-2) =-4 g(-2) = 1, gʻ(-2) = 2. Let h(x) = f(x) g(x). 5.1. What is the slope…

A: 5 (5.1) The slope is equal to the derivative of the function h(x) at any point x. Use the product…

Q: Find the equation of the tangent line to the graph of the given equation at the indicated point. +…

A: Given:- (x/y) +2x-4 = (-3/4) y  To find:- Equation of tangent line at point (1, 2)

Q: Find equations of the tangent lines to the graph of f(x) = (x + 1)/(x − 1) that are parallel to the…

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Q: Find the slope of the line tangent to the graph of ƒ(x)

A: Consider the following function: fx=xx+6 Differentiate fx with respect to x:…

Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: rmine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent line is…

A: We have to find the coordinates of the f(x)=5x3-2x2 where the tangent line is perpendicular to the…

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

A: Given: fx=x+2x-22=y To find the slope of tangent line at point (6,4) ,we need to find the value of…

Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

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

Q: A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of…

A: A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of…

Q: Find an equation of the line tangent to the graph of f(x) = - 1 – 3x at (– 3, – 28). The equation of…

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Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: Find the equation of the tangent to the graph y=x√(x-1) at (5,10).

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Q: At what other point does the tangent line drawn to the curve f (x) = x ^ 3 from (2,8) intersect?

A: Given curve is : f(x)=x3   ..............(1)           and tangent drawn from (2,8)

Q: Find an equation of the tangent line to the curve at the given point. y = (x+1)/(x-8) ,    (7, −8)

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x^2+9)(x-3) at the point…

A: Given : f(x) =(x2+9) (x-3)

Q: A)Determine the equation of the tangent to the curve y = (2x2 – 3) (x + 1)2 at the point where x =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the equation of the tangent line to the graph of the given function at the point with the…

A: The given function is: f(x)=x3  Given point is: x = -2 f(-2) = -8

Q: how do you find the  (a). equation of the scant line through the points wehre x has the given…

A: The given equation is f(x)=x^2+2x.

Q: Equation of the line tangent to the graph of f(x)=(x)(1-2x)^3 at (-1,1).

A: The given function is: f(x)=(x)(1-2x)3 And, at point (1,-1), we have to find the equation of the…

Q: Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(x)=-6 and g’(5)=2. Answer…

A: We have to find equation of tangent line

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

A: To determine: The slope and the equation of the tangent line to the graph of the function f at the…

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

A: 1)y=f(x)=x+2 y'=1 At (6,4), y-y1=m(x-x1) y-4=1(x-6) x-y-2=0 2) y=f(x)=x-2 y'=1 At (6,4),…

Q: Find an equation of the tangent line to the graph of f(x) = 5 - 5x at (4, - 75). The equation of the…

A: (a) Our Aim is to find the equation of tangent line to the graph f(x)=5-5x2 at…