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4. Compute the derivative: y = 2+ cos x 5. Determine the equation of the line tangent to y = V1 + x3 at the point (2, 3). 6. Let h(r) = V4+3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1). 7. Define f(x) = { V9 - ? if -3

4. Compute the derivative: y = 2+ cos x 5. Determine the equation of the line tangent to y = V1 + x3 at the point (2, 3). 6. Let h(r) = V4+3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1). 7. Define f(x) = { V9 - ? if -3

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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I need help with question 6 and 8
4. Compute the derivative: y = 2+ cos x 5. Determine the equation of the line tangent to y = V1 + x³ at the point (2, 3). 6. Let h(r) = V4+3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1). %3D %3D 7. Define f(x) = { V9 - ? if -3<r < 0 9(x) if r 20 (a) Let g(x) = 4 – Vr + 1. Show that f'(0) does NOT exist. (b) Let g(x) = 3+ sin(x²) instead. Determine whether f'(0) exists or not in this ca 8. Let y = Vcos x. Note y exists and is continuous for all a ER. Show that there are an infinite number of values r for which y is NOT differentiable. 9. Let f(x) y = f(x) has a horizontal tangent line for some 0 <I < . = sin(x + cos x). Use the Intermediate Value Theorem to show that the gra 10. Assume that g is a twice-differentiable function (that is, g' and g" exist) and f(x) = x.g Write f" in terms of g, g', and g". EN 6 8.
Transcribed Image Text:4. Compute the derivative: y = 2+ cos x 5. Determine the equation of the line tangent to y = V1 + x³ at the point (2, 3). 6. Let h(r) = V4+3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1). %3D %3D 7. Define f(x) = { V9 - ? if -3<r < 0 9(x) if r 20 (a) Let g(x) = 4 – Vr + 1. Show that f'(0) does NOT exist. (b) Let g(x) = 3+ sin(x²) instead. Determine whether f'(0) exists or not in this ca 8. Let y = Vcos x. Note y exists and is continuous for all a ER. Show that there are an infinite number of values r for which y is NOT differentiable. 9. Let f(x) y = f(x) has a horizontal tangent line for some 0 <I < . = sin(x + cos x). Use the Intermediate Value Theorem to show that the gra 10. Assume that g is a twice-differentiable function (that is, g' and g" exist) and f(x) = x.g Write f" in terms of g, g', and g". EN 6 8.
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