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A Different Type of Derivative

A Different Type of Derivative. Katherine Han Period 3 4-29-03. The Process. The process is best explained through an example. Hence: If f(x)= 10 x , then find f’(1) Step 1: Set 10 x equal to “u” 10 x =u Take ln of both sides to bring “x” out of the exponent xln10=lnu

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A Different Type of Derivative

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  1. A Different Type of Derivative Katherine Han Period 3 4-29-03

  2. The Process • The process is best explained through an example. Hence: If f(x)= 10x, then find f’(1) • Step 1: Set 10x equal to “u” 10x=u • Take ln of both sides to bring “x” out of the exponent xln10=lnu • Take the derivative ln10 = (1/u) du

  3. The Process, Continued • Get du all by itself uln10 = du • Plug in the value of “u” 10xln10 = du • Plug in the x value, given in the problem 101ln10=du • Solve 10ln10= 23.02585

  4. … and that’s all you have to do

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