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

Differentiating further exponentials

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

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

Quotient and remainder, polynomial division.

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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

Using the chain rule with polynomials and negative powers.

Introduction to using the product rule

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