Xiaodan Leng

Differentiation of trigonometric functions

Using differentiation to find the tangent and normal to a line at a given point

Another practical application of differentiation

Real life problems with differentiation

Finding the stationary points of a cubic with two turning points

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Identifying the correct rule to use

An introduction to using the quotient rule

Using the chain rule within product rule problems

Introduction to using the product rule

Using the chain rule with polynomials and negative powers

A basic introduction to differentiation

A basic introduction to differentiation

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Solving integration by substitution and rearranging $u$ for $x$

Solving integration by substitution without help

Step by step solving for integration by substitution

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx $

Given $\displaystyle \int (ax+b)e^{cx}\;dx =g(x)e^{cx}+C$, find $g(x)$. Find $h(x)$, $\displaystyle \int (ax+b)^2e^{cx}\;dx =h(x)e^{cx}+C$. 

Students enter equation and turning point

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Simplify fractions involving the products of factorials.

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Using trig identities to find solutions to equations