What is the derivative of f(x)=b^x?

umatisi6ar

umatisi6ar

Answered question

2023-03-11

What is the derivative of f ( x ) = b x ?

Answer & Explanation

Edward Hunter

Edward Hunter

Beginner2023-03-12Added 5 answers

This is the exponential function of base b (where b > 0 should be assumed). It can be thought of as b x = e x ln ( b ) , therefore, using the Chain Rule (See Chain Rule ) and the fact that ( e x ) = e x (see Exponentials with Base e ) yields ( b x ) = e x ln ( b ) × ln ( b ) = b x × ln ( b )

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