Problem 5. In general the derivative of a product is not the product of the derivatives. Find f and g such that the derivative of fg is f'g'. Problem 6. Find the equation of the tangent line to y = e" at x = 3. Problem 7. Is it true that the slope of the tangent line to y = e" is never zero? Erplain your reasoning.

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

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A: (3) Let the equation of the curve be, y=10cosx1+sinx+2x2 Differentiate the function with respect to…

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Q: ...... . . *********************** .... ...... ......... Find the slope of the graph of the function…

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Q: Find the 42nd derivative of the function y sin(x). Give reason for choosing yours answer.

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Q: Find the slope of the tangent line to the curve y- x + 4=0 at the points (8, 2) and (8, -2) in two…

A: We will find out the required solution.

Q: y = ǀsinx ǀ Estimate and list out the values of x where derivative of this function does not exist

A: Solution:- The given function is  y=|sinx| the graph of the above function y=|sinx| is given below.…

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Q: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

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Q: Find an equation of the tangent line to the curve y = at the point (0, 5). + 1 y= 5x – 5

A: Given,            y =5exx2+1 and point (0,5)

Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: What is the second derivative of the graph below at x = 1? -5 -4 -3 -2 f "(1) = 5 4 3 2 da 4 I 4

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Q: 16. Which of the following statements is true? A. The slope of a line can be applied for curves or…

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Q: Discuss two applications of derivatives to something other than tangent lines and velocities

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Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

Q: We need to use implicit differentiation in these rates of change problems because we generally have…

A: To determine whether the following statement is true or false.We need to use implicit…

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

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Q: 2. We have used the definition of the derivative at a point. We can also write the derivative of…

A: Given is a graph of function , to estimate its slope at different points and use the table of slope…

Q: 5-x. Calculate the derivative of y with re

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Q: Given the quadratic function in blue and the line tangent to the curve at A in red, move point A and…

A: Detailed solution is given below

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: 47. Figure 14 displays data collected by the biologist Julian Huxley (1887–1975) on the average…

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Q: How did you get from step 2 to the solution? I dont understand your example. Am I taking the…

A: The answer is in step 2.

Q: The curve y = ax + bx + c passes through the point (1,8) and is tangent to the line y = 5x at the…

A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.