Recovering original function given some information such as derivative and value at some point.

Introduction to using the product rule

Differentiate $\displaystyle \ln((ax+b)^{m})$

Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$

Differentiate $\displaystyle (ax^m+b)^{n}$.

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Using indices rules to write powers as negative powers

Using indices rules to write expressions as negative powers.

Using indices rules to write fractions as negative powers.

Using rules for roots and powers to write expressions with only powers

Using indices rules to rewrite an expression from $a^\frac{m}{n}$ to $b$, for integers $a$, $b$, $m$ and $n$.

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Practice using the log rules to add and subtract logarithms

Calculating the derivative of a function of the form $ax^n \ln(bx)$ using the product rule.

Practice using the log rules to add and subtract logarithms

Calculating the derivative of a function of the form $(ax+b)^n$ using the chain rule.

Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.

Homework set.  Find components of vectors in various situations.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Solve a random oblique triangle for sides and angles.

Use the parallelogram rule to solve a force triangle.

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

Given the specifications of two vectors, draw the parallelogram representing their sum, then estimate length of the diagonal. 

Draws a triangle based on 2 angles and a side length.

Draws a triangle based on 3 side lengths.

Calculating the derivative of a function of the form $\frac{ax^n}{bx+c}$ using the quotient rule.

Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.

Calculating the derivative of a function of the form $\sin(ax^m+bx^n)$ using the chain rule.