Use the fact that the derivative of the function g(x)=√x is g"(x)=1/2√x to find the equation of the tangent line to the graph of​ g(x) at the point x=121.

Q: Find an equation of the tangent line at the point indicated. f(x) = 5x2- 2x,    X = 1

A: Solution:Given   f(x)=5x2-2x       x=1To find the equation of the tangent lineFormula:Equation of…

Q: Find an equation of the tangent line to the graph of f (x) = ex, where x = -1.

A: To find equation of tangent f(x)=ex at x=-1

Q: Find the tangent line to the function f (x) = x² – 4x + 5 at the point (3,2).

A: To find: The tangent line to function fx=x2-4x+5 at the point 3,2. Formula used: The slope of…

Q: Find the equation of the tangent line to the function f(x) = e*-1 In(x + 1) when x = 0.

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Q: Use the definition of the derivative to find the equation of the tangent line to the graph of…

A: Identify the slope of the given line 6x+3y=4           The slope is identified to be m=-2.   The…

Q: find the slope of the tangent to the curve of f(x)= 1/square root of x at the point where x=1/4

A: Topic:- application of derivatives

Q: Find the equation of the tangent line to the function f(x)=x3−2x2−3x at the point (1,−4)

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Q: Let f(x) = x^2 - 4x + 1. What is the equation of the tangent line to f(x) at x = 2? Use the limit…

A: Please see the below picture for detailed solution.

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

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Q: Find the equation of the tangent line to f(x)=5+2x  at  a=2.

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Q: Find the equation of the tangent line to the curve f(x)= x2 +5x when x=1.

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Q: f (x) = v25 – x² at the point where x 4 -

A: Let:          fx=yy=25-x2 at x = 4,        y=25-42  =25-16  =9  =3 To find the equation of the…

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

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Q: find the equation of the tangent line to the curve when x has the given value f(x)=16/x ; x=2

A: To find the equation of tangent line to the below curve at x = 2.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.

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Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

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Q: Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2?

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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 f(x) =4 + 4x at a=2

A: As we know that tangent is a straight line. And also that tangent of a curve or a line is have…

Q: 2. f(x) = x2– 5x + 6 at x 2 --

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Q: Find the equation of the tangent line to the function f(x)=x2−x+2 at the point where x=−1

A: The given function is fx=x2-x+2 and the x-intercept of a point is x=-1. Evaluate the corresponding y…

Q: Determine the equation of the tangent line to the function y = 2 + xe³x + x when x is equal to 0.

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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 f(x) = x² + x at x = 3. Sketch the function and this…

A: The slope of any curve at any point is equal to the derivative of the curve at that point. The…

Q: Find the equation of the tangent: f(x)=4x-8√x at x=16

A: Solution

Q: Find the equation of the tangent line of the graph of f(x) = x/2x + 6 at the point where x = 5.

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Q: Use the fact that the derivative of the function ​f(x)=4/x is f"(x)=-4/x2 to find the equation of…

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Q: Find the equation of the tangent line to f(x) =x2-3x+1 / 2x-1 at the point x = 5.

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Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

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Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: Find an equation of the tangent line to the graph of f(x) = x2 when x = −2.

A: Given function is fx=x2 To find: The tangent line to given graph when x=-2. Solution:…

Q: Find the slope and equation of the tangent line to f(x) = 3 – 2x at a = 3 using th definition.

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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 an equation of the tangent line at the point indicated. f (x) = 5x2−2x , x = 1

A: At x=1 find f(1)

Q: Use the definition to find the derivative of the function f(x) = Vx +1 and obtain the equation of…

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Q: Find the equation of the tangent line to the graph of f(x) 1 at x = -2. x+6

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Q: By using the definition of the derivative, find the equation of the tangent line to the graph of…

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Q: Use the definition of derivative to find the slope of the tangent line to the function f(x) = V2x at…

A: Let's find.

Q: Find the equation of the tangent line to the function f(x) = 2x° + 3x2 + 4x +2 at the point where x…

A: Given : fx = 2x3 + 3x2 + 4x + 2

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

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Q: Find the equation of the tangent line to  f(x) = x2 − 2x + 2  at  x = 5.

A: The given equation is fx=x2-2x+2.

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 graph of the function f (x) = x3- 2x + 1 at the point…

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Q: Use the definition of the derivative to find the equation of the tangent line to the graph of y = Vx…

A: We write 6x+3y=4 in y=mx+b form to find slope

Q: Find the equation of the line tangent to the graph of f(x) = (In x)* at x=7.

A: Slope is evaluated by differentiating f(x) wrt x at x=7 . Also f(7) is evaluated. Write equation of…

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

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Q: Find an equation of the tangent line to the graph of the function f (x) = (2x – 1) In x when x = 1

A: Given function is f(x)=(2x-1)ln(x) Slope of the graph of f(x) at any point is given by, m=f'(x)

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

A: Topic:- Coordinate Geometry  Equation of tangent is  y+5x=7