What's the word?
The rule I use to differentiate a function that contains a function.
Chain rule
To replace a letter with a number in an expression
Substitute
(y_2-y_1)/(x_2-x_1)
Find the difference the ys divided by the difference of the xs. OR find the gradient of the line between two points.
What is the volume formula for any prism?
V = Abase x height
Name any two of the school sports houses
Palmer
Kingsford-Smith
Lavarack
Hinkler
The average rate of change is the gradient of a certain line that crosses two points on a curve. What is the line called.
Secant
To determine the unknown number in an algebraic equation
Solve
dy/dx
The derivative of the function y with respect to x
What is the formula for the area of a parallelogram?
A = base x perpendicular height
What is the street number on Maroochydore Road of the school?
160
The instantaneous rate of change of a graph is equal to the gradient of a line that is parallel to that graph at a point. What is the line called?
Tangent line
To determine the value of an expression by replacing the letter with a number and calculating.
Evaluate
f(x+h)
Substitute x + h whereever you see x in a function
What is the formula for the area of a circle?
A=pir^2
Name two countries our international students have come from this semester?
Brazil
Germany
Italy
Norway
What is the name of the process that uses this equation
lim_(h->0) (f(x+h)-f(x))/h
Differentiation by first principles
To place the points onto a graph
Plot
lim_(h->0)
Find the limit when h approaches 0
How do we determine the radius of a circle from its circumference?
r=C/(2pi)
Name the school from Japan that did a study tour at Maroochydore in July. Bonus points for correct spelling.
Tezukayama
The derivative of the displacement function gives what type of function?
Velocity function
To check if the answer is reasonable
Verify or evaluate the reasonableness
v(du)/dx+u(dv)/dx
Find v times derivative of u with respect to x + u times the derivative of u with respect to x
How do we calculate the height of a rectangular prism if we known its length and width and volume?
H=V/(LW)
Name two of senior school captains for 2026/2027 by their family name.
Harry Brennan
Hugh Goodwin
Lydia Vagg
Charlize Caston