Problem 1CYU: Consider the curve y=f(x) in Fig. 12. Find f(5). Find f(5). Problem 2CYU: Let f(x)=1/x4. a. Find its derivative. b. Find f(2). Problem 1E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 2E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 3E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 4E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 5E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 6E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 7E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 8E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 9E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 10E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 11E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 12E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 13E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 14E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 15E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 16E: Use formulas (1) and (2) and the power rule to find the derivatives of the following functions.... Problem 17E: In Exercises 1724, find the derivative of f(x) at the designated value of x. f(x)=x3 at x=12. Problem 18E: In Exercises 1724, find the derivative of f(x) at the designated value of x. f(x)=x5 at x=32. Problem 19E: In Exercises 1724, find the derivative of f(x) at the designated value of x. f(x)=1x at x=23. Problem 20E: In Exercises 1724, find the derivative of f(x) at the designated value of x. f(x)=13 at x=2. Problem 21E: In Exercises 1724, find the derivative of f(x) at the designated value of x. f(x)=x+11 at x=0. Problem 22E: In Exercises 1724, find the derivative of f(x) at the designated value of x. f(x)=x1/3 at x=8. Problem 23E: In Exercises 1724, find the derivative of f(x) at the designated value of x. f(x)=x at x=116. Problem 24E: In Exercises 1724, find the derivative of f(x) at the designated value of x. f(x)=1x25 at x=32. Problem 25E: Find the slope of the curve y=x4 at x=2. Problem 26E: Find the slope of the curve y=x5 at x=13. Problem 27E: If f(x)=x3, compute f(5) and f(5). Problem 28E: If f(x)=2x+6, compute f(0) and f(0). Problem 29E: If f(x)=x1/3, compute f(8) and f(8). Problem 30E: If f(x)=1/x2, compute f(1) and f(1). Problem 31E: If f(x)=1/x5, compute f(2) and f(2). Problem 32E: If f(x)=x3/2, compute f(16) and f(16). Problem 33E: In Exercises 33-40, find an equation of the tangent line to the graph y=f(x) at the given x. Do not... Problem 34E: In Exercises 33-40, find an equation of the tangent line to the graph y=f(x) at the given x. Do not... Problem 35E: In Exercises 33-40, find an equation of the tangent line to the graph y=f(x) at the given x. Do not... Problem 36E: In Exercises 33-40, find an equation of the tangent line to the graph y=f(x) at the given x. Do not... Problem 37E: In Exercises 33-40, find an equation of the tangent line to the graph y=f(x) at the given x. Do not... Problem 38E: In Exercises 33-40, find an equation of the tangent line to the graph y=f(x) at the given x. Do not... Problem 39E: In Exercises 33-40, find an equation of the tangent line to the graph y=f(x) at the given x. Do not... Problem 40E: In Exercises 33-40, find an equation of the tangent line to the graph y=f(x) at the given x. Do not... Problem 41E: The point-slope form of the equation of the tangent line to the graph of y=x4 at point (1,1) is... Problem 42E: The tangent line to the graph of y=1x at the point P=(a,1a), where a0, is perpendicular to the line... Problem 43E: The line y=2x+b is tangent to the graph y=x at the point P=(a,a). Find P and determine b. Problem 44E: The line y=ax+b is tangent to the graph of y=x3 at the point P=(3,27). Find a and b. Problem 45E: a. Find the point on the curve y=x where the tangent line is parallel to the line y=x8. b. On the... Problem 46E: There are two points on the graph of y=x3 where the tangent lines are parallel to y=x. Find these... Problem 47E: Is there any point on the graph of y=x3 where the tangent line is perpendicular to y=x? Justify your... Problem 48E: The graph of y=f(x) goes through the point (2, 3) and the equation of the tangent line at that point... Problem 49E: In Exercises 4956, find the indicated derivatives. ddx(x8). Problem 50E: In Exercises 4956, find the indicated derivative. ddx(x-3). Problem 51E: In Exercises 4956, find the indicated derivative. ddx(x3/4). Problem 52E: In Exercises 4956, find the indicated derivative. ddx(x1/3). Problem 53E: In Exercises 4956, find the indicated derivative. dydx if y=1 Problem 54E: In Exercises 4956, find the indicated derivative. dydx if y=x4 Problem 55E: In Exercises 4956, find the indicated derivative. dydx if y=x1/5 Problem 56E: In Exercises 4956, find the indicated derivative. dydx if y=x13 Problem 57E: Consider the curve y=f(x) in Fig.13. Find f(6) and f(6). Figure 13 Problem 58E: Consider the curve y=f(x) in Fig.14. Find f(1) and f(1) Figure 14 Problem 59E: In Fig.15, the straight line y=14x+b is tangent to the graph of f(x)=x. Find the values of a and b.... Problem 60E: In Fig.16, the straight line is tangent to the graph of f(x)=1x. Find the value of a. Figure 16 Problem 61E: Consider the curve y=f(x) in Fig.17. Find a and f(a). Estimate f(a). Figure 17 Problem 62E: Consider the curve y=f(x) in Fig.18. Estimate f(1) Figure 18 Problem 63E: In Fig 19, find the equation of the tangent line to f(x) at the point A. Figure 19 Problem 64E: In Fig 20, find the equation of tangent line to f(x) at the point P. Figure 20 Problem 65E: In Exercises 65-70, compute the difference quotient f(x+h)f(x)h. Simplify your answer as much as... Problem 66E: In Exercises 65-70, compute the difference quotient f(x+h)f(x)h. Simplify your answer as much as... Problem 67E: In Exercises 65-70, compute the difference quotient f(x+h)f(x)h. Simplify your answer as much as... Problem 68E: In Exercises 65-70, compute the difference quotient f(x+h)f(x)h. Simplify your answer as much as... Problem 69E: In Exercises 65-70, compute the difference quotient f(x+h)f(x)h. Simplify your answer as much as... Problem 70E: In Exercises 65-70, compute the difference quotient f(x+h)f(x)h. Simplify your answer as much as... Problem 71E: In Exercises 71-76, apply the three step method to compute the derivative of the given function.... Problem 72E: In Exercises 71-76, apply the three step method to compute the derivative of the given function.... Problem 73E: In Exercises 71-76, apply the threestep method to compute the derivative of the given function.... Problem 74E: In Exercises 71-76, apply the three step method to compute the derivative of the given function.... Problem 75E: In Exercises 71-76, apply the three step method to compute the derivative of the given function.... Problem 76E: In Exercises 71-76, apply the three step method to compute the derivative of the given function.... Problem 77E: Draw two graphs of your choice that represent a function y=f(x) and its vertical shift y=f(x)+3 Pick... Problem 78E: Use the approach of Exercise 77 to show that ddxf(x)=ddx(f(x)+c) For any costant c.[Hint: Compare... Problem 79E Problem 80E Problem 81E: Technology Exercises In Exercises 79-84, use a derivative routine to obtain the value of the... Problem 82E: Technology Exercises In Exercises 79-84, use a derivative routine to obtain the value of the... Problem 83E: Technology Exercises In Exercises 79-84, use a derivative routine to obtain the value of the... Problem 84E: Technology Exercises In Exercises 79-84, use a derivative routine to obtain the value of the... format_list_bulleted
Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning