Find an equation of the line tangent to the graph of f(x) = - 1 – 3x at (– 3, – 28). The equation of the tangent line to the graph of f(x) = - 1- 3x at (- 3, - 28) is y = (Type an expression using x as the variable.)

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: (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)

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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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: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: The equation of the line is:

Q: Let f(x) = 4x*+ 4x° – 10. Find the equation of the line tangent line to the graph of Y point (2,…

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Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Find an equation for the line tangent to the graph of 4x f(r) = I + 8| at the point (2, 0.8).

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Q: Let f(x) = 44 – x2 The slope of the tangent line to the graph of f(x) at the point (-6, 8) is - The…

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Q: If f(x) = 9x^2 - x^3, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A: Consider the given curve fx=9x2-x3

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: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Given:f(x)=5x(1+x2) Formula: ddxf(x)g(x)=g (x)f'(x)-f(x)g'(x)g(x)2

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=n

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Q: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point…

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation…

Q: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

A: To find the equation of tangent of given equation.

Q: find the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

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: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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Q: Find the slope of the tangent line to the graph of the function at the given p f(x) = -2x + 6 at…

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Q: For the function f(x) = 2x²: Find the slope of the tangent line to the curve at the point (1, 2): m…

A: The given function is fx=2x2. Obtain the derivative of fx=2x2: dydx=4x Substitute x,y=1,2  in…

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: Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the…

A: To find the slope of the function at the given point and also the equation of the tangent line at…

Q: Find the equation of the tangent line to the graph of the function f (2) = (22 +7) (x– 2) at the…

A: Given curve f(x)=(x2+7)(x-2) ⇒f(x)=x3-2x2+7x-14

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

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Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: For the function f(x)= 3x² +2x–1, Find the equation of the line tangent to the curve at x = -1 2.

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

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

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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: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: If f(x) = 9x^2 - x^3, find f’(2) and use it it find an equation of the tangent line to the curve y =…

A: Givenf(x)=9x2-x3

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: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= f(x) (2 + 3x)(6-5x)…

A: Given:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given: function fx=2x2Line 4x-y+1=0

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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