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Chapter 3: Inverse Functions

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Essential Calculus: Early Transcendentals
Pages: 145 - 202
Essential Calculus: Early Transcendentals

Essential Calculus: Early Transcendentals

Book edition 2nd
Author(s) James Stewart
Pages 830 pages
ISBN 9781133112280

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Illustration

192 Questions for Chapter 3: Inverse Functions

  1. Prove the identity \(coshx - sinhx = {e^{ - x}}\).

    Found on Page 145

  2. 1–38 ■ Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why.

    Found on Page 197

  3. Sketch the graph of the function \(y = {e^{|x|}}\) by using transformations if needed.

    Found on Page 150

  4. Determine whether the function\(f(x) = 10 - 3x\)is one-to-one.

    Found on Page 161

  5. Prove the identity\(sinh(x + y) = sinhxcoshy + coshxsinhy\).

    Found on Page 189

  6. 1–38 ■ Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why.

    Found on Page 197

  7. Sketch the graph of the function \(y = 1 - \frac{1}{2}{e^{ - x}}\) by using transformations if needed.

    Found on Page 150

  8. Determine whether the function\(g(x) = \frac{1}{x}\)is one-to-one.

    Found on Page 161

  9. Determine whether the function\(g(x) = \cos {\kern 1pt} {\kern 1pt} x\)is one-to-one.

    Found on Page 161

  10. Prove the identity \(cosh(x + y) = coshxcoshy + sinhxsinhy\).

    Found on Page 189

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