Instant Maths Help:   07795 345383

OCR A Level Maths - Exponential & Log Basics

Exponential Functions, Logs & Log Laws

OCR (A) H240/03 Jun 2023 A2 Exam Q. 1 :   3 marks in 3:36 min.
OCR (A) H240/01 Jun 2022 A2 Exam Q. 5 b :   4 marks in 4:48 min.
OCR (A) H230/02 Jun 2022 AS Exam Q. 6 :   12 marks in 14:24 min.
OCR (A) H230/01 Nov 2021 AS Exam Q. 6 :   3 marks in 3:36 min.
OCR (A) H230/01 Nov 2020 AS Exam Q. 6 bc :   9 marks in 10:48 min.
OCR (A) H230/02 Jun 2019 AS Exam Q. 8 :   8 marks in 9:36 min.
OCR (A) H240/01 Jun 2017 A2 Sample Exam Q. 5 :   4 marks in 4:48 min.
Using exponential functions
Using logarithms to any base
Explore relationship between exponential functions and their derivatives
Exponential Graphs: ${a^x}$
The graph of $\color{blue}{ f(x) = {a^x} }$ is shown in blue, together with its tangent and gradient at a sample point in red.

By considering the gradient at x = 0, 1, 2, 3, can you predict what the gradient function of $\color{blue}{ f(x) = {a^x} }$ is?
Gradients of ${a^x}$ and ${e^x}$
Compare the graph of \(\color{blue}{ f(x) = {a^x} }\) with the graph of its gradient function, \(\color{green}{ f'(x) }\).
Adjust the value of a till the the two curves coincide.
  Settings
Current A Level Syllabus
Current Stage
Current Calculator