# Using the Chain Rule: Exponential, Log and Trig Functions

Related Topics:
More Lessons for A Level Maths

Math Worksheets

Videos, activities and worksheets that are suitable for A Level Maths.

What is the chain rule? $\frac{{dy}}{{dx}} = \frac{{dy}}{{dt}} \times \frac{{dt}}{{dx}}$ How to differentiate exponential functions? $\begin{array}{l}y = a{e^x}\\\frac{{dy}}{{dx}} = a{e^x}\end{array}$ How to differentiate log functions? $\begin{array}{l}y = \ln x\\\frac{{dy}}{{dx}} = \frac{1}{x}\end{array}$ How to differentiate trig functions? $\begin{array}{l}y = a\sin x\\\frac{{dy}}{{dx}} = a\cos x\end{array}$ $\begin{array}{l}y = a\cos x\\\frac{{dy}}{{dx}} = -a\sin x\end{array}$ $\begin{array}{l}y = a\tan x\\\frac{{dy}}{{dx}} = a{\sec ^2}x\end{array}$ The following videos will show how to differentiate exponential functions, log functions and trig functions using the chain rule.

Differentiating Exponential Functions using the Chain Rule
How to differentiate exponential functions using the chain rule.
A-Level Maths : Differentiation of natural log functions
In this tutorial you are shown how to differentiate natural logs functions by using the chain rule.

Differentiating trigonometric functions using the chain rule
How to differentiate trigonometric functions using the chain rule
Differentiating trig. functions to a power using the chain rule
This maths tutorial shows you how to differentiate trig. functions to a power using the chain rule

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.