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Derivatives of Unit 3: Advanced Derivatives and Applications
Derivatives of
Unit 3: Advanced Derivatives and Applications
Derivative of
In other words, keep the exponent the same and multiply by the derivative of the exponent.
This is a process called differentiation by substitution. (though it may not be necessary for all problems)
Remember: is a constant
EX1: Find of
EX2: Find if
Derivatives of Different Bases:
Exponential functions of a different base are always given the restrictions “for and ”.
Negative values of are effected by an even or odd exponent.
If , then
EX3:
Determine if
EX4: At what point on does the tangent line have slope 21?
Divide by
Take the natural log of both sides
Plug into original function to find
Derivatives of and
For and ,
EX5: find if
EX6: find if
Homework
Page 348 #39-44, 47, 59Page 357 #41-44, 49-51Page 322 #47-50, 73, 74
Complete AP Calculus Practice ProblemsQuiz Friday (A) Quiz Tuesday (F)
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Page 35741.
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Page 322
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