3. Use the limit definition of the derivative to find the derivative of each of f(x)...
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3. Use the limit definition of the derivative to find the derivative of each of f(x) = 2x + 3. Show all of your work carefully and clearly. 4. Sketch the graph of a functiony = f(x) defined over -5 x 5 with the following conditions. f is differentiable everywhere except at x = -2, x = 0, and x = 3 f is neither continuous nor differentiable at x = -2 f is continuous but not differentiable at x = 0 and x = 3, but for different reasons 5. Consider the graph of y = f(x) as given. Carefully sketch a well-labeled graph of f. 2 a. f(x) = 4x - 6. Find the derivative of each of the following functions using the Power Rule and other derivative rules. d. f(x) = x-3x+11 a. Compute a formula for h'(x). b. Evaluate h'(2), if possible. Evaluate h'(3), if possible. ESET M zah e. h(u) b. g(t) = 5t-/ *f(x) 7. Let h(x) = x, where the graphs of f and g are as shown. zu-3u c. y = (x + 3x) (1-) 000) 8. The function 7(x) represents the temperature (in F) at an elevation of x feet on a mountain. What does the statement T' (5000) = -0.15 mean in the context of the problem? Express using one carefully written statement. Be sure to include units. 3. Use the limit definition of the derivative to find the derivative of each of f(x) = 2x + 3. Show all of your work carefully and clearly. 4. Sketch the graph of a functiony = f(x) defined over -5 x 5 with the following conditions. f is differentiable everywhere except at x = -2, x = 0, and x = 3 f is neither continuous nor differentiable at x = -2 f is continuous but not differentiable at x = 0 and x = 3, but for different reasons 5. Consider the graph of y = f(x) as given. Carefully sketch a well-labeled graph of f. 2 a. f(x) = 4x - 6. Find the derivative of each of the following functions using the Power Rule and other derivative rules. d. f(x) = x-3x+11 a. Compute a formula for h'(x). b. Evaluate h'(2), if possible. Evaluate h'(3), if possible. ESET M zah e. h(u) b. g(t) = 5t-/ *f(x) 7. Let h(x) = x, where the graphs of f and g are as shown. zu-3u c. y = (x + 3x) (1-) 000) 8. The function 7(x) represents the temperature (in F) at an elevation of x feet on a mountain. What does the statement T' (5000) = -0.15 mean in the context of the problem? Express using one carefully written statement. Be sure to include units.
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Posted Date:
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