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!

GB
Answered by George B. Maths tutor

3920 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

If y = exp(x^2), find dy/dx


Two particles A and B of mass 2kg and 3kg respectively are moving head on. A is moving at 5m/s and B is moving at 4m/s. After the collision, A rebounds at 4m/s. What is the speed of B and what direction is it moving in?


Core 3 Differentiation: If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx. Hint: Use the chain rule.


Integrate ∫x^4+5x^3+sin(2x) dx


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences