1-x The equation of the tangent line for y = at (- 2, – 3) is 1+X

Q: 1. f(x) = x² and g(x) = –x² + 12x – 18 have a common tangent at point P. Determine the equation of…

A: for same tangent line  slope of equation is same f'(x) = 2x g'(x) = -2x +12 both are same so f'(x)…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: g(x) = 1.1x + ex   , (0,1) Find an equation of the tangent line to the graph of the function at the…

A: Equation of tangent line when the slope and points are known: where x1 ,y1 represents the given…

Q: (viii) Find the equation of the tangent line to the following curve at the point (1, 1). 4.x²y – y =…

A: To find the equation of the Tangent line to the curve at given point

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

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Q: [CLO-2] Find the equation of the tangent line to the given curve at the specified point. xy2 - x²y =…

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Q: f(x) = x³ + 3.x² – 2.x – 8, at the point (a) Find an where equation for the line tangent to = 1.

A: Given: The equation of curve fx=x3+3x2-2x-8 and the x-coordinate of point  is x=1, To find: The…

Q: An equation of the tangent line to the curve C at the point (1, 2) is A у — 2%3 B y-2=2(x-1) ©…

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Q: Find an equation of the tangent line to the graph of y =- 2x at the origin and at the point (1,1). x…

A: Given :                      f(x) = 2xx2 +1Differentiate using quotient rule :…

Q: 14. Let y = 4x² - 4x + 3. (a) Find an equation for the tangent line to this graph at x = 2. (b) Find…

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Q: 2-2 f(x) = 7x +6 Find an equation for the tangent line to the graph of f at z = 3. Tangent line: y =…

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Q: (x) = (3x + 1)²; (0, 1) (a) Find an equation of the tangent line to the graph of the function at the…

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Q: -5x e Find an equation of the tangent line to the graph of y = xe 5X at the point y =

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Q: Ch.3) 2. Find an equation of the tangent line to the given curve at the specified point: 13. (3) x*…

A: The given function is y=x2+2x2+x+3 at 1,35

Q: (a) The curve y = 1/(1 + x-) is called a witch of Maria Agnesi. Find an equation of the tangent line…

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Q: 31-32 Find an equation of the tangent line to the given curve at the specified point. 1 + x 32. y 1…

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Q: (a) Find an equation of the tangent line to the curve y = 16x sin(x) at the point (7/2, 87).

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Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x…

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Q: 77 Find an equation of the tangent line to the given curve at the specified point. 2x y = - X + 2'…

A: The equation of the curve is given as, y=2xx+2 We need to find the equation of the tangent at the…

Q: Find the equation of the tangent line at the given point on the following curve x* +y° = 8. (– 2,2)…

A: The equation of of tangent to a curve f(x,y)=0 at a,b is (y-b)=dydx(a,b)(x-a)

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 the equation of the tangent line to the curve y = 3x at the point (1, 3). The equation of the…

A: Given,           The curve is y=3x and point is 1, 3.

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y²) = 25(x² – y?) a the…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 6.…

A: we are given y=g(x),g(3)=-2,g'(3)=6

Q: Vx-1 Find the slope-intercept equation of the tangent line to the graph of at the point x2+1…

A: This question is based on knowing how to calculate slope from a given function at a point.

Q: An equation of the tangent line to the curve C at the point (1, 2) is y-2=-(-1) A у — 2%3 y-2=2(x-1)…

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Q: Q14: Find the equation of the tangent line to the curve xsin y+x' = tan" (e") +x- at the 4 point…

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

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

A: y=g(x) and g(4)=-3 , g'(4)=5 we have to find the tangent line of the given function y=f(x)

Q: 2 The equation of the tangent line to the graph y at the point (-1,2) is given by O a) y = 6x + 8. O…

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Q: 10. (a) Find an equation for the line tangent to f(x) = x³ + 4x² at the point x = 1. (b) Find the…

A: Consider the following equation of curve: y=x3+4x2 Substitute x=1 in the above equation:…

Q: 3. (a) Use implicit differentiation to find an implicit formula for the slope of a line tangent to…

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Q: 1 14. Find the equation of the tangent line to f (x) at the point (a,f (a)) when a = 5. x+5

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Q: (x2 + x 2) + 3 at the point (1, 3) 18. Show that the tangent to the curve y = is also the tangent to…

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Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

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Q: -9x Find an equation of the tangent line to the graph of y = e at the point (4, e¯3º). y =

A: First of all we will find the slope of the tangent line using the fact that the slope of tangent…

Q: c) Finally, draw a large and clear sketch of the graph of f(x) = z² – 2 and illustrate the tangent…

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Q: f(x)=-3x^4+11x^2 What is the equation of the tangent line at x=-1?

A: Obtain the value of y as follows.

Q: 2 Find the equation of the tangent line to the graph of f(x) = - at X The equation of the tangent…

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

A: To find the equation of the tangent line to the graph y=2x+1x+2 at 1,1

Q: An equation of the tangent line to the curve y=(x^2 +1)^3 at the point (1, 8)

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Q: Find the equation of the line tangent to the graph of x° + y° = - 2xy + 7 at (3, – 2). | The…

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Q: 2(x2+y2)2=25(x2-y2) Find the slope of the tangent line to the curve at each of the points. Make…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -6 and g'(4) = 5.…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -6 and g'(4) = 3.…

A: The tangent line is a Straight line which is a tangent to the curve at the point. The point here…

Q: 2. Write the equation of the tangent line to the curve y = x2 -x-2+ 2 at the point P(1, 2). 3. Use…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: f(x)=x+1/x-1 using definition, find equation of the tangent line at (0,-1)

A: The slope of the tangent is the derivative of the function.

Q: Find the equation of the line tangent to the graph of 2 + y* = - 2xy + 13 at ( – 3, 4). The equation…

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Q: z+7 at the point (0, - (0.-) Find the equation of the tangent line to the graph of the function f(z)…

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