Edexcel A Level Maths: Pure:复习笔记6.1.4 Derivatives of Exponential Functions

What is the derivative of e?

• y = ex has the particular property

• ie for every real number x, the gradient of y = ex is also equal to ex (see Derivatives of Exponential Functions)

• e ≈ 2.718 (see "e")
• Recall that the derivative is the gradient function for a curve (see First Principles Differentiation)

Graphs and derivatives related to e

•  The derivative of y = ekx is
• 
• The derivative of y = e-kx is
•