Home » 國際課程 » A-level課程 » Details

CIE A Level Maths: Pure 3復習筆記2.1.4 Derivatives of Exponential Functions

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年8月19日下午3:16

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

Derivatives of Exponential Functions Notes fig1, A Level & AS Maths: Pure revision notes

Derivatives of Exponential Functions Notes fig2, A Level & AS Maths: Pure revision notes

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

Derivatives of Exponential Functions Notes fig3, A Level & AS Maths: Pure revision notes

Remember that (like?π)?e?is a?number.
Exam questions can ask for answers to be given as exact values in terms of?e?(see the Worked Example below).

Derivatives of Exponential Functions Example fig1, A Level & AS Maths: Pure revision notes

Derivatives of Exponential Functions Example fig2, A Level & AS Maths: Pure revision notes

6.1.4-Derivatives-of-Exponential-Functions-Example-fig3

6.1.4-Derivatives-of-Exponential-Functions-Example-fig4

6.1.4-Derivatives-of-Exponential-Functions-Example-fig5

轉載自savemyexams