Using the Chain Rule: Exponential, Log and Trig Functions

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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

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