Find the equation of the line tangent to the graph of f(x) = 4x + 5x? – 4x – 3 at a = -7

Q: Find an equation of the line tangent to the graph of f(x) = - 2x at (2,- 16).

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Q: Find all points of the graph of f(x) = 3x2 + 9x whose tangent lines are parallel to the line y - 57x…

A: Solution: Two lines are parallel if they have same slope.

Q: Write the equation of the tangent line to the graph of y= 8x^4-7x-1/3-x^2 at x=1 check the…

A: First we find out first derivative at x=1 which is slope of tangent line.then we use equation of the…

Q: Find the equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 2.

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Q: Write the equation of the line tangent to the graph of (x) at x=-1. f(x)=2x2+7x

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Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx+2

A: Find the equation of line

Q: Find an equation of the line tangent to the graph of f(x) = at 8,

A: f(x)=4x

Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx +2

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Q: If f(x) = 2x2 + 10x + 6, find the equation of the line tangent at x = %3D -1.

A: Given, f(x) = 2x2 + 10x + 6 So, y = 2x2 + 10x+ 6 for finding the equation of line  we first find the…

Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

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Q: What is the slope of the graph of f (x) = x3 - 4x2 + 6 at x = 2? Write the equation of the line…

A: Given :        The function f(x) = x3 - 4x2 + 6    To find the slope of the graph f(x) = x3 - 4x2 +…

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

A: To find the equation of the tangent line at point x = 1 for the given curve.

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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Q: if f(x)=4x^2+7x+6, find the equation of the line tangent at x=-2

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Q: Find the derivative of the function. y = 3√(6x2 + 1)

A: y=36x2+1

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

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Q: Find the derivative of the function. y = 5x² + 2* + 3

A: The sum rule of differentiation states that ddx(f(x)+g(x))=f'(x)+g'(x). The differentiation of the…

Q: Find the equations of the line that is tangent to f(x) = x3 - x2 +3x - 4 at x = 2

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Q: If f(x) = 2x² – 2x – 3, find the equation of the line tangent at æ = 2.

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Q: Find the equation of the line tangent to the graph of the function at the indicated point. 20) f(x)…

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Q: Find the equation of the line tangent to the graph of f(x) = 4x° + 6x2 – 6x – 5 at x = -6. %3D

A: The function is given by fx = 4x3+6x2-6x-5 To evaluate: The equation of the tangent line to the…

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is…

A: The derivative of xn is nxn-1 for n≠0. The derivative of f(x)+g(x) is f'(x)+g'(x). The derivative of…

Q: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

Q: Find an equation of the line tangent to the graph of f(x)=4/x at (-8,-1/2)

A: Given: fx=4x  , -8,-12 Formula Used: Equation of tangent line is given by y-y1=f'x1x-x1

Q: Find an equation of the line tangent to the graph of f(x) = 1-7x at (-5,- 174).

A: The given function is:fx=1-7x2The coordinate is -5, -174To find equation of tangent line

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is -5

A: Given: ƒ(x) = x3 + 9x2 + 19x - 10 The slope of the tangent line is -5

Q: Write the equation of the line tangent to the graph of the function at the indicated point.…

A: To find the equation of the line tangent to the graph of the function y=x2-5x+55x0,y0=4,1

Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

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Q: Find the equation of the line tangent to the graph of f(x) = 7x³ + 8x² – 2x – 6 at x

A: We need to find the equation of the tangent to the function f(x) = 7x3+8x2-2x-6 at x=—2 We know that…

Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

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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: If f(x) = 2x² + 4x + 9, find the equation of the line tangent at x = 2. -

A: To find equation of the tangent line we need slope and y intercept of the line.  Slope of the…

Q: Write the equation of the line tangent to the graph of f(x) = -3x² + 5x +1 at x=1 and use it to…

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Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

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Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

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Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: If f(x) = 8x2 - x3, find f'(2) and use it to find an equation of the tangent line to the curve y =…

A: The given function is f(x)=8x2-x3

Q: If f(x) = 2x2 - 9x + 4, find the equation of the line tangent at a 2. %3D

A: Given that: f(x) = 2x2-9x+4  To find:  Equation of tangent line at x=2.

Q: Find the equation of the curve whose tangent line has a slope of f'(x)=5x-6/7 if the point ​(minus…

A: Given that And it is passing through (-1,-9).

Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 + 2x…

A: Given : y = x4+2x3+2x-2

Q: Find the equation of the line tangent to the graph of f(x)= x2 over (3x-4)3 at the point…

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Q: Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

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Q: The equation of the line that is tangent to the curve y=2x3−6x and is perpendicular to 18y+x+3=0…

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Q: Find the equation of the line tangent of f(x) = 3x - e-5x when x = 0.

A: f'x=3-e-5x-5=3+5e-5x We know that the slope of the tangent at x=a is f'(a). So the slope of the…