Derivatives of Exponential Functions (CIE A Level Maths: Pure 3)

What is the derivative of e?

• y = e^x has the particular property

• ie for every real number x, the gradient of y = e^x is also equal to e^x (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 = e^kx is
  • 
• The derivative of y = e^-kx is
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