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

Q: 4. Find the equation of the tangent line to the graph of f(x)= 2x² – In Vx at x = 1.

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Q: Find the equation of the tangent and normal line of the function f(x) = 2x – 1 at the point (5, 3).

A: fx=2x-1   First find equation of tangent line of given function  We need to find the slope of…

Q: Find an equation of the tangent line to the graph of the function at the given point. ex + e-X y = 7…

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Q: Section 2.4 Chain Rule Please show & explain all work, thank you.

A: Multiply both sides by x^2.

Q: Find the equation of the tangent line to the graph of f(x) = 2x² –In Vx at X = 1. %3D

A: First we differentiate to find the slope then use formula to find the equation

Q: Find the equation of the tangent line to the graph of f(x) = x'e- at x = 0.

A: The given function is f(x)=x9e-x at x=0.

Q: find an equation of the tangent line at the point indicated. f (x) = 6x , x = 2

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Q: 4. Find an equation of the line tangent to g(x) = 3x² - x +1 at x= 1.

A: Given function

Q: Find the equation of the tangent line to f(x) =1 – x² at (1,0). -

A: here we use formula  y-y1=m(x-x1) at point (1,0)

Q: ) Find the equation of the tangent line ETL for f(x) = x³ - 2x +1 at x = −1

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Q: Find an equation of the tangent line to f(x) = x² at the point (3,9).

A:

Q: Find the equation of the tangent line at x=9 for f(x) =X^3/2

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

Q: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = xsin(x),…

A: We tale ln on both sides then differentiate both sides with respect to x

Q: Find the equation of tangent lineto the cubic x^3-6x^2+10x+8 parallel to the line y=x

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Q: Find an equation of the tangent line to f(x) = x° – 2x +1 at the point (0, 1).

A: The given function is: f(x)=x3-2x+1

Q: The equation of the tangent line to the graph of f(x) = vx+1 At the indicated point (3,2) is:…

A: The given function is fx=x+1. Evaluate the slope of the function at the point (3, 2) as follows.…

Q: Find the equation of the tangent line to the curve f(x)= 1/(3x-1) at x=1

A: Given f(x)=13x-1Let y=f(x)Slope of tangent line to the curve f(x) at x=1 can be done by using…

Q: Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A:

Q: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Find the equation of tangent line for the curve f(x)=e³x at coordinate (0,1).

A: Given: fx=e3x

Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

Q: Find an equation of the line tangent to y = xsin x at the point x = 1.

A: The given equation is y=xsinx.

Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: Find the equation of the tangent line at the given value of x on the curve. 3 4 2y° + xy - y =…

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Q: Find the point where the tangent line to y = x² at x 0.7 crosses the x-axis.

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Q: Find the equation of the tangent line of f(x)=x−(1/x) at x =1.

A: Given function is fx=x-1x Above function can be written as y=x-1x. At x=1, y=1-11=1-1=0 So, given…

Q: |Find the point(s) on the curve f(x) = x² where the tangent is parallel to the line 4x-y-1= (

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Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

A:

Q: Find the equation of the tangent to 1 y =- at x = 3 X

A: Given curve is y=1/x

Q: Find the equation of the tangent line to the graph of the function f (x) r+3 at the point (0,-). -4

A: Given: fx=x+3x-4 at the point0, -34

Q: 4. Find the tangent line to the function f(x) =;xVx² + 5 at the point (2,2).

A: Tangent line of a function:  Differentiate the equation of the curve Substitute the value into the…

Q: Find the equation of the tangent and normal line of the function f(x) =√(2x − 1) at the point (5,…

A:

Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

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Q: Find the tangent line to the curve y = 2x - x2 at (2,0)

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula…

Q: The point on the graph of f(x) = 1 where the tangent line is parallel to the line 3z + y = 1 is: %3D

A:

Q: Find the equation of tangent and vertical line to the curve g=x+1/x at point (0,1)

A: First we want to check whether the given point is in the domain of the given function.

Q: Determine the equation of the tangent line to f(x) = ln(x-2) at x=4.

A:

Q: 2) Find the tangent line to y2 = x at the point (4, –2).

A: Given: y2=x…

Q: ) Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A: Given:

Q: Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 4. y =

A:

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: Find the equation of the tangent line to the graph of the function f(x)=x+1x−6 at the point (0,−16).

A: Equation of tangent is y-y1=m(x-x1) where m is the slope.

Q: Find the tangent line to y = √(x2 - x + 7) at x = 2.

A: Differentiating with respect to x, we get

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

A: The given equation is fx=4x and x=3 To find the equation of the tangent line. The formula for the…

Q: Find the equation of the tangent line to the curve f(x) = x³ln (x + 1) at the point (0, 0).

A: The given curve is: f(x)=x3 ln(x+1)

Q: x =t - sint y = 1- cost

A:

Q: Find the equation of the tangent line to the graph f (x) = x^3 ln x at the point (1, 0)

A: Tangent line equation.

Q: Determine the equation of the tangent line to f(x) = x3 - x, at x = 1

A:

Q: Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the…

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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: