Build the tangent line approximation (linear approximation) to 6 -5 0 2 3 4 5 6 7 8 9 10 11 12 f(x) = √x at C = 9.

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: Find the point (x,y) at which the graph of y=4x2 +4x-8 has a horizontal tangent line

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Q: Determine the point(s) on the following function where the tangent line is…

A: f(x)=−x3+3x2In order to get the slope of the curve or that of a tangent to the curve at any point…

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: Find the linear approximation of the function f(x) = VI - x at a = 0 and use it to approximate the…

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Q: Let f(x) = √6-x The slope of the tangent line to the graph of f(x) at the point (2, 2) is The…

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Q: The height of a sand dune (in centimeters) is represented by f(t) = 850 - 2t² cm, where t is…

A: Given the height of the sand dune is represented by f(t)=850-2t2 cm where t is measured in years…

Q: (3) Find the equation of the line tangent to f(x)=√x atx=4

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Q: Find the value of C' for which the tangent line to the graph of the function f(x) = 2e at the point…

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Q: Let f(x) = 2x² 11a + 4 - The slope of the tangent line to the graph of f(x) at the point (2, 10) is…

A: This is a problem related to derivative of the function. Please follow the procedure given below.

Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

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Q: What is the equation of the tangent line to the graph of the following function at (2,2)? y=√√√x³ +1…

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Q: Find the equation of the tangent to the curve y=√x at the point (1,1) (Figure 4).

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Q: Find an equation of the tangent line to y = f(x) at x = -2. (Using the definition) f(x)=x² + x² + x…

A: we have, Differentiating w.r.t x, we getDifferentiating again w.r.t x, we getFurther,    .     .…