Determine the equation of the line tangent to the graph of f ( x ) = 3 x 2 − x + 4 at x = − 1.  Give your answer in slope-intercept form

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

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Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and 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 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 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 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 the slope m and the equation of the tangent line to the graph of the function f at the point…

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

A: f(x)=4x

Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

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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

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Q: Find the slope of the line tangent to the graph of f(x)=4x^2 +2x +1 at x=1

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Q: Find the equation of the tangent line to the graph f(x)=x^4 +2x^2 -x at x=1. Write your equation in…

A: Equation of tangent line to the curve fx at point x=a is given by y-fa=f'ax-a Given curve is…

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 the equation of the line tangent to the graph of f(x)= (lnx)3  at x=10.

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Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+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: 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: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 6 + In…

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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: Find the slope-intercept equation of the tangent line to the graph of f(x) = x2 at (-3, 9).

A: Consider the following function: fx=x2 Differentiate fx with respect to x: ddxfx=ddxx2f'x=2x…

Q: Find the equation of the tangent line to the graph of f(x)=4x^3 + x^2+9 when x=-2

A: The objective is find the equation of the tangent line to the graph

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 an equation of the line tangent to thegraph of f(x) =3/x at (2,3/2)

A: Given: y=fx=3x, 2,32 for finding of equation of tangent at given point we need slopem of tangent at…

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: At which x location on the graph of f(x) = -x² - 2x + 15 is the slope of the tangent 0?

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Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

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 for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

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 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: 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 an equation of the tangent line to the graph of the function f(x) = 2x² - 4x +5 at the point…

A: Given, f(x)=2x2-4x+5

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

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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: 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: 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: Find the equation of the line tangent to the graph of f(x) = x² + = - 9 at x = 7. y = help…

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Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

Q: Find an equation of a line that is tangent to the graph of f(x) = x³ -3 and Perpendicular to the…

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Q: Determine an equation for the tangent to the curve f(x) = 2x3 + 6x2 - 2  at x = -3

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

Q: Find the point where the tangent to the graph of f(x)= -x^2-6 is parallel to the line y=4x-1

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

A: We have to find the tangent line equation and also we have to approximate f(1.2).

Q: At what point does the graph of the function f(x) = x³ – 3x has horizontal tangent ? Find equations…

A: a) Points are (1,-2) and (-1,2) b) Lines are y=-x-1, and y=-x+3

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 4 +9 In…

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Given function is fx=2x2-4x+5. To find the equation of the tangent line in slope intercept form to…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: