Who was first to discover that the derivative of the exponential function is the exponential function itself. Can someone recommend me any good resources where I can read and learn more about the history of it? Thanks in advance!
2026-04-12 23:42:05.1776037325
History of the exponential function and its derivative
552 Views Asked by user147263 https://math.techqa.club/user/user147263/detail At
1
There are 1 best solutions below
Related Questions in EXPONENTIAL-FUNCTION
- How to solve the exponential equation $e^{a+bx}+e^{c+dx}=1$?
- derive the expectation of exponential function $e^{-\left\Vert \mathbf{x} - V\mathbf{x}+\mathbf{a}\right\Vert^2}$ or its upper bound
- How do you calculate the horizontal asymptote for a declining exponential?
- Intersection points of $2^x$ and $x^2$
- Integrate exponential over shifted square root
- Unusual Logarithm Problem
- $f'(x)=af(x) \Rightarrow f(x)=e^{ax} f(0)$
- How long will it take the average person to finish a test with $X$ questions.
- The equation $e^{x^3-x} - 2 = 0$ has solutions...
- Solve for the value of k for $(1+\frac{e^k}{e^k+1})^n$
Related Questions in MATH-HISTORY
- Are there negative prime numbers?
- University math curriculum focused on (or inclusive of) "great historical works" of math?
- Did Grothendieck acknowledge his collaborators' intellectual contributions?
- Translation of the work of Gauss where the fast Fourier transform algorithm first appeared
- What about the 'geometry' in 'geometric progression'?
- Discovery of the first Janko Group
- Has miscommunication ever benefited mathematics? Let's list examples.
- Neumann Theorem about finite unions of cosets
- What is Euler doing?
- A book that shows history of mathematics and how ideas were formed?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
The most comprehensive reference I know of is
[1] Florian Cajori (1859-1930), History of the exponential and logarithmic concepts (in 7 parts), American Mathematical Monthly 20 #1−7 (January−September 1913), pp. 5−14, pp. 35−47, pp. 75−84, pp. 107−117, pp. 148−151, pp. 173−182, pp. 205−210. [Links are to freely available copies.]
Keeping in mind that the derivative of an exponential function (with first degree input) is the same as the original exponential function (modulo a multiplicative constant), the following gives a lot of early "realizations" of this notion.
[2] Lorenzo Jan Curtis, Concept of the exponential law prior to 1900, American Journal of Physics 46 #9 (September 1978), pp. 896−906. [Link is to a freely available copy.]