30 3.5 22.5 20 7.5 10 7.5 24 6 8 10 12 14 16 18 20 22 24 Months Average weight of infants (in pounds)

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A: First of all we will state vote the derivative of a function represents.

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A: We can use the concept of Straight line in order to solve the given problem.

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A: Given that : The function is f(x) = 3 x2 + 2x +11 and its derivative f ' (x) = 6x + 2.

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Q: 10. Describe a process for finding the slope of the line tangent to the graph of f at (a, f(a)).

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A: Graph is given We have to find the slope.

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Q: I need more help with finding the slope of the line tangent using the instantaneous rate of change…

A: Slope of the tangent = limit h-&gt;0 (f(x+h)-f(x))/h

Q: 8.) What is the slope of a tangent line tangent to curve g(x) = v5x -8 at point x= 37 a.) 7 b)V7 d.)…

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Q: AVERAGE WEIGHT OF AN INFANT The following graph shows the weight measurements of the average infant…

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Q: Regarding y as the independent variable and æ as the dependent variable, find the slope of the…

A: We can find the slope at the indicated point as below

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Q: differentiate the functions and find the slope ofthe tangent line at the given value of the…

A: s'(t)=9·3t2-8·2t=27t2-16t

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A: Find the slope of the tangent line.

Q: a. Use implicit differentiation to find dx dý b. Find the slope of the curve at the given point.

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Q: X -4 -3 -2 -1 0 123 2 3 4 Slope of the Tangent Rate of Change (+/-) Local Max/Min/ Inflection pt.

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Q: (a) Find f'(x). f'(x) = (b) Find the slope of the tangent line at x = 3 Slope = f'(3) =

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Q: Find the slope of the line tangent to the graph of ƒ(x)

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Q: USE THE GRAPH TO ESTIMATE THE SLOPE OF THE TANGENT LINE AT THE POINT. VERIFY YOUR ANSWER…

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Q: 4. 4. () = a北

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Q: Draw a tangent line on the following curve at x = 1. Use that tangent to estimate the instantaneous…

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Q: The chart below shows the average depth of water in a river for 3 different months of the year. What…

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Q: 2(x2+y2)2=25(x2-y2) Find the slope of the tangent line to the curve at each of the points. Make…

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A: (a) The time t = 0 corresponds to the year 2000. Therefore, for year 2005,  t  = 5 years, for year…

Q: Differentiate the function and find the slope of the tangent line at the given value of the…

A: The given function is: s(t)=9t3-2t2...(1)

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Exponential Growth Model

The relation that represents an exponential function is: