Use the product rule to differentiate various functions.

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

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Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

More work on differentiation with trigonometric functions

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

Implicit differentiation.

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

Another practical application of differentiation

Using the chain rule within product rule problems.

Application of differentitaion in geology. A projectile problem.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$. Non-calculator. Advice is given.

A cubic with a maximum and minimum point is given. Question is to determine coordinates of the minimum and maximum point. Non-calculator. Advice is given.

A quartic graph is given. The question is to determine whether the gradient is positive or negative at various values of x. Non-calculator. Advice is given.

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.