Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx; x=1

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: Find the derivative of the function f(x) = (5x^4)/12

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A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

Q: Find the derivative of the function.

A: fx=x3-2x+3x-3

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A: Given, The function is f(x)=-x2+8 and the point on the graph of f-1(x) is (7,1).

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Q: Which of the following is an equation of the line tangent to the graph of f(x)=x^3-x at the point…

A: Calculus Question

Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x)…

A: Given function is

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A: Obtain the inverse of the given function as follows:

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

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Q: The derivative of the function f(x) = 4x-1 is

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Q: Find the indicated derivative for the function. -6 h''(x) for h(x) = 9x - 9x h'(x)=

A: Given: The function hx=gx-3-9x-6.   We need to find h''(x)=? hx=gx-3-9x-6We need to find…

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: Which of the following is an equation of the line tangent to the graph of f(x)=3x^2+1 at the point…

A: Please refer the attached image for complete solution.

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-7 f(x) = 9x -4…

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Q: Find the derivative of the function. g(x) = 2(4 – 7x)* %D

A: given function :

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A: The given function is

Q: Given that f(-5)=-5  and f'(-5)=-10 , find an equation for the tangent line to the graph y=f(x) of…

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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) = Inx?;…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given function is Differentiating both sides , we get

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of…

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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) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

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A: To find the equation of tangent line to the given curve at a given point, Obtain the expression for…

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Q: Find f'(x) and find the equation of the line tangent to the graph of fat x = 1. f(x) = (2+5x)(5-4x)

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Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: 3x4 – -7Vx5 + 4 - f (x) = x2

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Q: Find the function with the given derivative whose graph passes through point P f'(x)=1/4x3/4,…

A: To find the function with the given derivative that passes through the point (1,-2).The derivative…

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A: To find the slope of the tangent we find f'(x)

Q: 8. 4 2

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A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

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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: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 12 e* +…

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: The given function fx=x4-25x2+144; x=-1. Obtain the slope at x=-1as follows.…

Q: Find the indicated derivative for the function. -5 -6 h'(x) for h(x) = 6x 4x h''(x) =

A: Given: hx=6x-5-4x-6We need to findh''x=?

Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line.…

A: topic - derivative of a function and point of horizontal tangent line

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

Q: For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

A:

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: