For a function f, we are given that f(8) = 1 and f'(8) = 2. What's the equation of the tangent line to the graph of f at z = 8?

Q: 2. Determine an equation for the tangent line to f(x) = x(x² + 1)3 at x = -1.

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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 an equation of the tangent line to the graph of the function at the given point. f(x) = e*…

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Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

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 to f(x) = 3x +5 at the point (1, 8).

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

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Q: Find an equation of the tangent line to the curve at the given point. y = x + sin(x), (1, n)

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Q: Find the equation of the tangent line to the graph of function at the given point y = 1n x^4 ; (1,0)

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Q: 4. x-y = 2 at (2, 2)

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Q: Find the equation of the tangent line for f (x) = 2 sec(z) at z = 6

A: To find out the equation of tangent line.

Q: The slope of the tangent line to the graph of x2 – y? = ln(xy) at the point (1, 1) is

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

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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: Find the equation of the tangent line to the graph of f(x)=x^2cos(x) at x=0

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

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Q: f (z) = sin (3,/7) at the point 72,0)

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Q: Find the equation of the tangent line to the graph of the function f(x) = v2x² + 1 at the point…

A: Given that: f(x)=2x2+1        at point (2, 3)

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

A: topic - equation of a tangent line

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 line to the graph of f(x)= 1 at the point (2,1). %3D X-1

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Q: Find an equation of the tangent line to the graph of the function                    y = (cosh x −…

A: We first find the derivative at (0,1) to find the slope

Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

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Q: 2n 5) h(x) = tanx, x = 3

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Q: Find an equation of the tangent line to the curve at thegiven point.

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e=*…

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Q: 15 Find the equation of the tangent line to the graph of f(x) at the point where x = 2 Vx3 – x + 3

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Q: Find the equation of the tangent line to the graph of f(x) = 1 at the point (2,1). x-1

A: Consider the graph of function, To calculate the slope (m) of the tangent line at the points (2,…

Q: Find the equation for the tangent line to the curve y=f(x) at the give x-value. f(x)=ex^2-1 at x=1

A: equation of the tangent at the point ( x1,y1) with slope  y - y1 = slope ( x - x1)

Q: Find the equation of the tangent line to the curve tan(x – 1+ 2y) = e + 3x – 4 at the - point (1,0).

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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).

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Q: Find the equation of the tangent line to the graph of h at the point (1, 0) xh += 1 = 2x2 + h where…

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Q: Find an equation of the tangent line to the graph of f(x) = e×/2 In(x) at its inflection point.…

A: The point of inflection is the point where the second order derivative of the function becomes zero.…

Q: Find the slope of the tangent line to f(x)=(8x-6)cos(x) at x=0.

A: The given function is: fx=8x-6cosx To find the slope of the tangent line at x=0.

Q: 3. Find the equation of tangent line of the function f (x) = e" /x at the point æ 1. Write in the…

A: Given,  The function   fx = exx   We have to find the equation of the tangent line at the point x =…

Q: Find the equation of the tangent line of f (x)= x² In x at x=1.

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Q: Suppose that the tangent line to the graph of f(r) = *) at r=1 is equal to the tangent line to the…

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Q: f(x) = ln(x − 1) at x = 2

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Q: find the equation of the tangent line to the curve y=x 'square root of' x at the point (1,1).

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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) = sin ( 11 √x ) at the point…

A: The function is fx=sin11x. Find the slope of the tangent line at π2,0 by taking the derivative of…

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 equation of the tangent line of the function at the given point. 9. f(x) = 3x+2 (0,-2) x-1…

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Q: Find an equation of the tangent line to the graph of the function (x)= Vx –7 at the point (23, 4).

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Q: Find an equation of the tangent line to the curve at the given point. y = x + sin(x), (1, x)

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Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value.   f(x) = x ln(x…

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

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Q: Find the equation of the tangent line to the curve a(x) = 3 sin-x+ In(x² – 5x +1) – e**-6x at x = 0

A: Point -slope form : y-y1=m(x-x1) ; where 'm' is slope and (x1,y1) given point.

Q: Find a formula for the tangent line for y = sin(x) cos(x) at x = 4 -

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Q: Determine the equation of the tangent line to g(x) = sin(6x) at x = A.

A: Given ,  g(x) = sin(6x) at x = π  We have to find the equation of the tangent line  g(π) = sin(6π) =…