Question

Differentiate e^ax by ab initio method

Answer 1

Answer:

I hope this answer will help you and please make me as brain list  

Explanation:

For this question, you are required to differentiate

from first principles, i.e using the ab-initio method.

For this problem, the result

will become very useful in finding the derivative. The constant h is the infinitesimal change in x used in computing the derivative.

                                             Step 1

Define  and .

                                              Step 2

Work out the value of ,

.

                                              Step 3

Divide the expression in step 2 by the infinitesimal change in x, which we call h in this problem,

.

                                               Step 4

Work out the value of the limit of the expression in step 3 to find the derivative.  

.