Given that the graph of f(x) passes through the point (3, 2) and that the slope of its tangent line at (x, f(x)) is 4x + 6, what is f(3)?

Q: Need answer to the following question.

A: We first find the slope of the tangent for which we need derivative of f(x).  Differentiating f(x)…

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

A: Solution:

Q: Find the line tangent to the graph of f(x) = x² + x +1 at xo = 2

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Q: What is the slope of the tangent line that touches the graph of In y + e2=-1 = 3y – 4x at the point…

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Q: Find the points on the graph of y = 1– 5x + 3x² where that tangent line is parallel to the line y –…

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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: The equation of the tangent line to the graph of f(x) = Vx+1 At the indicated point (3,2) is:…

A: By using the derivative and slope intercept form required tangent equation is :

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: 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 an equation of the tangent line to the graph of f (x) = x2 at x = 5.

A: fx=x2x=5

Q: Find an equation of the tangent line to f(x)=2x^3-4x+6 at x=-1

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

A:

Q: Given that the graph of f(x) passes through the point (7, 3) and that the slope of its tangent line…

A: Use the fact that derivative of a curve is the slope

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line…

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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: Find the equation of the tangent line to the graph of the function g(x)=2x-1/3x+1 at x=0.

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Q: Given that the graph of f(x) passes through the point (8, 4) 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, 3) and that the slope of its tangent line…

A: topic - functions

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: Given that the graph of f(x) passes through the point (7, 6) and that the slope of its tangent line…

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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: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line…

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

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

Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1, 1)

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Q: The slope of the tangent line for the function f(x) = x^4 – 3x^3 + x^2 – 2x + 8 at x = 1 is

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Q: If the slope of the tangent line to the graph of y-f(x) at x-a is m(a)=20+1, and f(1)-5, then what…

A: We have to find function

Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1,1)

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

Q: Given that the graph of f(x) passes through the point (4, 9) and that the slope of its tangent line…

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Q: Suppose f (x) = (x 2 − 2x) (3x + 2).What is the equation of the line normal to f(i.e., the line…

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

A:

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

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

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at…

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

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: Given that the graph of f(x) passes through the point (8,9) and that the slope of its tangent line…

A: Given the slope of the tangent line of graph of y=f(x) at (x,f(x)) is 6x + 2, so dydx=6x+2 Now solve…

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: Given that the graph of f(x)  passes through the point (4,10) and that the slope of its tangent line…

A: Given that the graph of f(x)  passes through the point (4,10) and that the slope of its tangent line…

Q: Given that the graph of f(x) passes through the point (5,6) and that the slope of its tangent line…

A:

Q: Find an equation of the tangent line to the graph of x² +2y² = 3 at (1, -1).

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Q: find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x2y,   (1,1)

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Q: Find the equation of the tangent line to the graph of f(x) = (4x – x2)(4 – x - x2) at x = 1. y =

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

A: Solution )slop of tangent line                f'(x) = 2x + 5 Intregating both sides  ∫f'(x) =…

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: find the equation of the tangent line to the curve f(x) = 2x³+3x² - 5x+3 at the point x= -1

A: Given, y=fx=2x3+3x2-5x+3             ...(1) Point  x=-1

Q: Find the equation of the tangent line to the curve g(x) = 3x² – 8x + 2 at the point (1, -3).

A: The equation of the curve and the point is given as,

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

A:

Q: Given that the graph of f(x) passes through the point (7, 6) and that the slope of its tangent line…

A: Let y=f(x) is the curve. The curve passes through (7, 6) and slope of tangent at (x, y) is 4x+5.…