Introduction to using the product rule

Introduction to using the product rule

A basic introduction to differentiation

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.

Questions on differentiation from first principles, and continuity and differentiability.

Implicit differentiation.

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

3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

Implicit differentiation including finding tangents

10 questions on the product rule in differentiation.

Diagnostic testing on differentiation.

8 questions on the quotient rule in differentiation.

3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

26 questions: Product Rule, Quotient Rule and Chain Rule. For those that want a thorough testing of their basic differentiation using the standard rules.

Implicit differentiation including finding tangents

Implicit differentiation.

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

Implicit differentiation.

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

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

Using the chain rule with polynomials

A basic introduction to differentiation

A basic introduction to differentiation

Using the chain rule with polynomials and negative powers

Introduction to using the product rule

Using the chain rule within product rule problems

An introduction to using the quotient rule

Identifying the correct rule to use

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

Finding the stationary points of a cubic with two turning points

Real life problems with differentiation

Another practical application of differentiation