Given that the graph of f(x) passes through the point (5, 8) and that the slope of its tangent line at (x, f(x)) is 3x + 4, what is f(4)? Question Help: Message instructor

Q: y = 3x?+1 ; (0,1)

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Q: Given that the graph of f(x) passes through the point (6, 9) and that the slope of its tangent line…

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Q: Given that the graph of f(x) passes through the point (4, 5) and that the slope of its tangent line…

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Q: 3. Determine the value of b if the slope of the tangent to f(x) = (3x² + 1)(2x² + b) at x =– 1 is –…

A: given,       fx=y=3x2+12x2+b    slope of the tangent, at x=-1      dydx=-16

Q: Given that the graph of f(x) passes through the point (8, 10) and that the slope of its tangent line…

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Q: Given that the graph of f(x) passes through the point (6, 9) and that the slope of its tangent line…

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Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: , Find the equation ofthe line thet Is tangent to graph of the giren functlon at the Point CC, fC)…

A: First you will find the slope of the tangent by using the fact that the derivative of the function…

Q: Given that the graph of f(x) passes through the point (3, 10) and that the slope of its tangent line…

A: Consider the given slope of tangent of the function at x,fx is 2x+6

Q: Given that f(2) =-7 and f'(2) = -8, find an equation for the tangent line to the graph of y = f(x)…

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Q: Given that the graph of f(x) passes through the point (2, 6) and that the slope of its tangent line…

A: We will find the required.

Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

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Q: What is the equation of the tangent line to the graph of the function (given below) at x=-2 ?…

A: gx=3x2-2

Q: Given that the graph of f(x)f(x) passes through the point (5,10)(5,10) and that the slope of its…

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Q: Find the slope-intercept equation of the tangent line to the graph of f(x)=√xat (4, 2).

A: fx=x    at 4,2 slope intercept equation:y=mx+cNow we find slope…

Q: The slope of the curve f(x)= at x =1 is

A: given function :

Q: Given that the graph of f(x) passes through the point (8, 2) and that the slope of its tangent line…

A: Slope of a function is the first derivative for the function f(x).So integrate the value of slope to…

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

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

A: The slope of the tangent line to the graph of f(x) at x is m(x)=3x2-2x+1 and f(2)=4.

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)…

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Q: 17. Given the curve y = 3x³ – 4x² +7, find the slope of the tangent line at the point when x= 3.

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Q: What is the slope of the tangent line to the graph of y=x^4-3x^2+x+2 at x=-1? [a] What is the…

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Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A: To determine the slope and equation of tangent line to the graph.

Q: For f(x)=1/4+x2​, the slope of the graph of y=f(x) is known to be − 2/25 at the point with​…

A: The function is f(x)=14+x2Slope is -225x-coordinate is 1

Q: The equation of the tangent line for the function f(x) = -3 – 6x at r = 6 is %3D

A: The given function is, fx=-3-6x We need to find the equation of the tangent line to the function at…

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 3x2 - 4,…

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Q: For what values of x is the tangent line of the graph of f(x) = 2x + 12x? + 2x parallel to the line…

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Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents…

A: To determine the x-intercept of the curve and slope of the tangent at the intercept.

Q: Find all values of x such that the tangent line to the graph of y = 5x² – 16x + 5 is steeper than…

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Q: 42. At what point on the graph of f(x) = -5x² + 4x – 2 is the slope of the tangent line 6?

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Q: Given that f(2) = -5 and f'(2) = 3, find an equation for the tangent line to the graph of y = f(x)…

A: we have to find equation of tangent line

Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: a) Find the points at which the tangent line to the graph of function f(x)=2x²-24x+6 has slope equal…

A: Let y=f(x) be any function, then    Slpoe at any point, m = df(x)dx

Q: What is the slope of the tangent line that touches the graph of In(y)+e2x-=3y – 4x at the point (A 1…

A: The solution are next step

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

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Q: Find an expression for the slope of the tangent line to the graph of the given Function. 1. y= 2+ x³…

A: Our Aim is to find an expression for the slope of the tangent line to the graph of the given…

Q: Given that the graph of f(x) passes through the point (3, 2) and that the slope of its tangent line…

A: Given: Graph of f(x) passes through the point (3,2) and that the slope of its tangent at (x,f(x)) is…

Q: The slope of a tangent for the function ,2 f(x) = x² – 8x +1 at (1,-6)

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Q: If f'(4)= 6 and g'(4)=3, then the slope of the tangent line to the graph of y=2f(x)-5g(x) at x=4 is…

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Q: If f(x)=x²+ax+b and the slope of tangent at x= -1 is 4 and the curve passes the point (2,4) Find…

A: I have stated the used formula in the solution

Q: a) Find the slope of the tangent to the curve y = 3+ 4x2 – 2x³ at the point where x = a.

A: We are suppose to solve the problem by application of derivative.   NOTE :: As per our guidelines we…

Q: iven that the graph of f passes through the point (1,6) and that the slope of its tangent line at  (…

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Q: Given that the graph of f(x) passes through the point (8, 3) and that the slope of its tangent line…

A:

Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangent…

A: To find the x-intercept we plug y=0

Q: For what values of x is the tangent line of the graph of f(x)= 2x3-12x2+2x+18 parallel to the line…

A: The tangent line of the graph of f(x)= 2x3-12x2+2x+18 is parallel to the line y=2x+.4 So, slope of…

Q: Given that the graph of f(x) passes through the point (5,10) and that the slope of its tangent line…

A: The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at (x,f(x))…

Q: The abscissa of the function y x^3 + bx ^2+ cx - 1 is x= 1 point is the inflection point. Since the…

A: Given that, The abscissa of the function y = x3 + bx2 + cx -1 is x = 1 point is the inflection…

Q: Given that the graph of f(x) passes through the point (2, 4) and that the slope of its tangent line…

A: Explanation of the answer is as follows

Q: 3. Determine the value of b if the slope of the tangent to f (x) = (3x² + 1)(2x² + b) at x = – 1 is…

A: The formula to find the slope of the tangent to the function f(x) is f'(x).

Q: Find the slope and equation of the tangent line 1. f(x)= -3+2x+x2                    (3,12)

A: f(x)=-3+2x+x2,(3,12)