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Identifying the correct rule to use

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

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A simultaneous equations question with integers only

More work on differentiation with fractional coefficients

Using the chain rule with polynomials and negative powers.

Introduction to using the product rule

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

Using the chain rule with polynomials

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

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Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d $.

A basic introduction to differentiation

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

Quotient and remainder, polynomial division.

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

More work on differentiation with trigonometric functions

Using the chain rule within product rule problems

Identifying the correct rule to use

An introduction to using the quotient rule

Identifying the correct rule to use

Identifying the correct rule to use

Quotient and remainder, polynomial division.

A basic introduction to differentiation

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

More work on differentiation with fractional coefficients.

6 questions which introduce the student to the Numbas system.

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