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calumus meretrix et gladio innocentis

### Log and Exponential Differentiation Exercises Answers

Exercises from public domain textbooks. Workings where provided do not necessary follow the same lines as the original.

M means {$\log_{10} e$} in the answers. Apparently this was a common constant when base 10 logarithms were frequently used. Textbook answers use {$\log$} for the natural log.

C65-1. {$${{3M} \over x}$$}

C65-3. {$${{2M} \over {1+2x}}$$}

C65-5. {$${3 \over {1+x}}$$}

C65-7. {$$-{1 \over x }$$}

C65-9. {$$2 + 2\log x$$}

C65-11. {$${M \over {2-5t+3t^2}}$$}

Warning! Does not agree in sign with worked answer (and is geometrically implausible).

C65-13. {$${{1-\log t} \over {t^2}}$$}

C65-15. {$${{4(\log t)^3} \over {3t}}$$}

Warning! Does not agree with worked answer.

C67-1. {$$3e^{3x}$$}

C67-3. {$${{e^{\sqrt{1+x}}} \over {2\sqrt{1+x}}}$$}

C67-5. {$$e^x(2x+x^2)$$}

C67-7. {$$(3 \log_{10})10^{3x+4}$$}

C67-9. {$$1$$}

C67-11. {$$-2x$$}

C67-13. {$$2e^x(e^x+1)$$}

C67-15. {$${{e^{\sqrt{x}} + e^{-\sqrt{x}}} \over {4\sqrt{x}}}$$}

Sources:

Recommended:

Category: Math Calculus

This is a student's notebook. I am not responsible if you copy it for homework, and it turns out to be wrong.

Figures are often enhanced by hand editing; the same results may not be achieved with source sites and source apps.

### December 23, 2018

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