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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

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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