Why is the derivative of the exponential function itself?

The exponential function is defined as a power series, which we may (for reasons that are beyond the scope of A-level) differentiate term by term to get another power series. The general term of the series differentiates to the term before it, the first term is 1 so disappears and the series is infinite which means the whole series differentiates to itself!

Answered by George B. Maths tutor

3722 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given ∫4x^3+4e^2x+k intergrated between the bounds of 3 and 0 equals 2(46+e^6). Find k.


Integrate 5(x + 2)/(x + 1)(x + 6) with respect to x


Differentiate y=(4x^2-1)^3


What is the amplitude and period of y=3sin(5x)?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences