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The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph cos ((x + h)²) - cos (x²) for h = 1.0, 0.7, and 0.3. Experiment with other values of h. What do you see happening as h→0? Explain this behavior.

The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph cos ((x + h)²) - cos (x²) for h = 1.0, 0.7, and 0.3. Experiment with other values of h. What do you see happening as h→0? Explain this behavior.

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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The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph cos ((x + h)²) - cos (x²) for h = 1.0, 0.7, and 0.3. Experiment with other values of h. What do you see happening as h→0? Explain this behavior.
Transcribed Image Text:The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph cos ((x + h)²) - cos (x²) for h = 1.0, 0.7, and 0.3. Experiment with other values of h. What do you see happening as h→0? Explain this behavior.
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