Q: Find the derivative using the following information.
A: Equation of tangent to curve g(x) at x=2 is y=-3x+2. Its slope is m=-3. Since slope of tangent to…
Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b
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Q: 2. Determine an equation for the tangent line to f(x) = x(x² + 1)3 at x = -1.
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Q: (a) If F(x) = 12x/(3 + x²), find F '(3) and use it to find an equation of the tangent line to the…
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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: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…
A: We find the slope of f(x) at x=1 by finding f'(1)
Q: an equation of the line tangent to the function of x2 + (y – x)2 = 9 at x = 1.
A: At given value of x find y Differentiate at given value Use equation of tangent line
Q: (a) If F(x) = 6x/(2 + x2), find F '(2) and use it to find an equation of the tangent line to the…
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Q: 2. Find the equation of the tangent line to the graph of the function at the indicated point. (a)…
A: Explanation of the answer is as follows
Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb
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Q: The equation of the tangent line to f(x) = 5x2 + 7 at x = 0 is a y = 5x + 7 b y = 7 y = 2x + 14 O d…
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Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) ev dy at x = 0. sech z
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Q: 32. Find an equation of the tangent line to the graph ofy= /(r)at z = -3if S(-3).32 and f'(-3) 5
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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: 3. Find the equation of the tangent to the curve y = (x - 2)√x² + 16 at X = 3.
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Q: 2x Find the equation of the line tangent to the graph of y= In(3x)+- at x=1 6
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Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.
A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…
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: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…
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Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.
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Q: 3. Find the equation of the line tangent to the curve f(x) = 3r²+4r+1 at the point (1,8).
A: To find the equation of the tangent line to the curve f(x).
Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D
A: The solution of the problem is given in the next step.
Q: The equation of the line tangent to f(x) = (x² – 9) (2x – 1) at æ = 2 is y = 2x –*
A: Given that: f(x)=(x2-9)(2x-1)
Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…
A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)
Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D
A: Given, The function x2+y-x2 = 9 We have to find the equation of the tangent line to function at x…
Q: (A) Find the equation of tangent and normal to the curve x? + 2y = 9 at (-1, –2). (B) Use the first…
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Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1.
A: Here we find equation of tangent on given curve.
Q: 2x +5 at x = The equation of the line tangent to f(x) x - 2 y = 9x +
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Q: (A) Find the equation of tangent and normal to the curve x2 – 2y² = –7 at (-1,–2). (B) Use the first…
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Q: 19. The slope of the tangent to the curve (x2 + y²)² = 4.x²y at the point (1, 1) is 3 3 (a) - () – 1…
A: We have to find slope of the tangent to the curve x2+y22=4x2y at the point 1, 1. We know slope of…
Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x-axis ? OA…
A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis
Q: Find h'(-3) if h = f o g, f(x) = -8x? + 6 and the equation of the tangent line of g at -3 is y = 7x…
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Q: f(x)=5x^3/(1−4x) ^4 find an equation of a line tangent to f at x=1
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Q: II. FIND THE EQUATION OF THE LINE TANGENT TO_f(x) 1. f(x)= (x+1)' (2x +3)² at x=-2
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Q: 2x + 3 The equation of the line tangent to f(x) = at x = – 2 is x + 3 y = 3x +
A: Given that function fx=2x+3x+3 To find equation of line of tangent at x=-2solutiony=fxfx=2x+3x+3at…
Q: Find h'(-1) if h = fog, f(x) 3x2 8 and the equation of the tangent line of g at --1 is y = -2x +7.
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Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…
A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…
Q: 2) Find the equation of the tangent to f(z) = 3re² when x = 1
A: A detailed solution is given below.
Q: 2. (A) Find the equation of the tangent line tof (x) = x4 – 98x² + 82 at x = -1. (B) Find the…
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Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…
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Q: 20. What is the equation of the tangent line of f(x) = Vx = 4? A. x - 4y + 4 = 0 B. x + 4y -4 = 0…
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Q: Find h'(-2) if h= fog. f(z) = 372 + 8 and the equation of the tangent line of g at-2 is y= 4x 6.
A: Here we have to find h'(-2) if h=f∘g , g(x) =3x2+8 and the equation of the tangent line of g at -2…
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: 9. Find the equation for the tangent line to f(x) = at A)9x+25 y=-34 B)9x+25 y =-24 r=-1 C)-9x+25y =…
A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…
Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…
A: The solution to given questions is explained below.
Q: Given 5y + xy-4 0; find a) f '(x) b) the equation of the tangent line at x--3
A: Given: 5y+xy-4=0 From the given expression, (a) Differentiate the expression of f(x) with respect…
Q: 13x Ca) If F(x) = find F'(3) and use it to find an equation of the tangent line to the curve y = 13x…
A: Given function is : Fx=13x4+x2 To find the value of F'3 and to find the equation of tangent to the…
Q: 1. For the function f(x) = 4x? + 6x – 6, (a) Find the slope of f(x) at x = 4 (b) Find equation of…
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Q: 3x + 1 The equation of the line tangent to f(x): at x = - 2 is x + 1 y = 2x +* %3D
A: To find the y coordinate , one have to plug the given value of x in the function…
Q: 9. Find the equation for the tangent line to f(x) = at *=-1 A)9x+25 y =-34 B)9x+25 y=-24 C)-9x+25y…
A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…
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