Consider the function (Pаcсмотрите функцию) 1 f(x) = x² – kæ' where k is a nonzero constant (где k есть постоянная, не равная нулю). Let (Пусть) k %3 3. Write an equation for the tangent to the graph of (Напишите уравнение касательной к графику функции ) f at the point whose r-соordinate is 4 (в точке с 2-координатой равной 4).

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: The slope of the tangent line to the graph of the function y = 7V-3 at (9, 18) is

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Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = V12x + 4 at…

A: The function is fx=12x+4 and the point is given as 1,4. Differentiate the function with respect to…

Q: find the slope of the line tangent to the graph of f at P.

A: Given,

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: Find the slope of the tangent line to the graph of f(x) = x2 - x at (4, 12).

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Q: Find an equation for the tangent line of the graph of f(x)=x^2-1 at (4,15).

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4-x- In(x+…

A: The function is given by y = 4-x2-ln12x+1 The point is x0,y0 = 0,4 To evaluate the equation of the…

Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

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Q: Find the slope of the tangent line to the graph of y = x2 at the point where x = - 1/4.

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Q: Find an equation of the tangent line to the graph of y = f 1 (x) at x = 3, where f(x) = x 4.

A: Given: f(x)=x4 at x=3  To find the tangent line of the given function at x=3

Q: At what point on the curve y = [In (x+4)] is the tangent line horizontal.

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Q: The slope of the tangent line to the graph of the function y = 9Va -2 at (4, 16) is -5.00 O -4.00 O…

A: Simply calculate the derivative of function at given point.

Q: Find the equation of the tangent line to the curve 3x f (x): at the point (1,). 1+5x2

A: Given: The function fx=3x1+5x2 and the point 1,12, To determine: The equation of tangent line to the…

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 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: Find the equation of the tangent line to the curve f( x) = Assume f'( x) =- and x = 1.

A: Answer and explanation is given below....

Q: The slope of the tangent line to the graph of the function y = 8VI - 4 at (16, 28) is O 1.50 O -1.75…

A: Given function is, y=8x-4

Q: Find an equation for the tangent line to the graph of f(x) at x = 1.

A:

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 f(x) = x² In x when x = 1

A: Given: f(x)=x2lnxx=1

Q: Find the equation of the tangent line to the graph of the function f (z) = (2+7) (z – 3) at the…

A:

Q: Find the equation of the tangent line to the graph of the function f (x) = 4xcosx + 3 at the point…

A: Given that: f(x)=4x.cosx+3 at point (0, 3)

Q: Find an equation of the tangent line at x and f'(3) = 2. 3, assuming that f(3) = 5

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Q: Describe the slope of the tangent line to the graph of f(x) = e* for the following. (a) x-- (b) x-0

A: The slope of a line is the tangent of the angle that the line makes with the x-axis. The slope of…

Q: The slope of the tangent line to the graph of the function y = 7Vx – 3 at (9, 18) is - O 3 - 2.00 O…

A: Simply take the derivative of the function at that point.

Q: Determine the slope of the tangent line to the graph of x2 + 4y2 = 4 at the point (√2, −1/√2).

A:

Q: Let f (æ) = (In(z³ + 1))". Find the slope of the tangent line at x = 1. (Give your final answer as a…

A: The slope of tangent to a curve y=f(x) at a point x=a is given by f'(a)

Q: Find the equation of the tangent line to the graph of j f (x) =- -5e2* at the point (0, -5).

A:

Q: If the slope of the tangent line to the graph of y-f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

A: m(a)= 2 a + 1 f'(x) = m(x) = 2x +1  Integrating f'(x) gives f(x); f(x) = 2(x2/2) + x + c f(x) = x2 +…

Q: The slope of the tangent line to the graph of f(x) = at a = 1 is: ¤ + x

A: Given:f(x) = xx + x

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 to the graph of f (x) = - at the point (1,2).

A:

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

A: Given curve is y=1/x

Q: The slope of the tangent line to the graph of the function y = 5VT-5 at (25, 20) is O 5 O 0.50 O…

A: Application of differentiation

Q: If the slope of the tangent line to the graph of f(x) at x is m(x)=3x^2-x+1  and f(2)=4, then what…

A:

Q: Find the equation of the tangent line to the graph of f(x) = x² – 4 at the point (3, 5). -

A: The equation of the line passing through the point (x1,y1) having slope m is given as (y-y1)…

Q: Find the slope of the tangent line to the graph of the function at the given point. y = In x y 10…

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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 slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,…

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: a) What is the slope of the tangent line to the graph of f at x= n ?

A: Given, fx = 4cos2x -2esin3x  We have to to find the slope of the tangent line to the graph of f at x…

Q: Find the slope of the tangent line to x+y=10 at (1,8).

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: The slope of the tangent line to the graph of the function y = 8vT- 4 at (16, 28) is O 1.00 O -2.25…

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Q: Find the equation of the tangent line to f(x)=-2sin(x) at x=0

A: We have to find the equation of tangent line

Q: The slope of the tangent line to the graph of the function y = 8/T- 4 at (16, 28) is O 4 O -1.75 O…

A: Slope : It is the Differentiation of y with respect to x at a given point.

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)