Calculus (Quotient Rule)
Calculus (Chain Rule)
Calculus (Product Rule)
Calculus (Anything)
Mr Gill's General Trivia
100

Find the derivative of: y = 

(-3(3x - 2x^2))/(7x)

What is: y'= 

6/7

100

y=sin(cosx)

-cos(cosx)sinx

100

Find the derivative of:  y=(3x-2x2)(5 + 4x)

What is:  y' = -24x2 +4x + 15.

100

Find the derivative of f(x) = sin2(4x)

What is 8 sin (4x) cos (4x)?

100

The town where Mr Gill came from

What is Newcastle
200

The derivative of 

 y = (e^(2x))/x^2 fully simplified.

What is 

y'=(2e^(2x)(x-1))/x^3

200

The derivative of 

f(t)=sqrt(1-t)


What is 

f'(t) = -1/(2sqrt(1-t)

200

Find the derivative of:  y= 3x2sin(4x).

What is: y'= 6x[sin(4x) + 2xcos(4x)]

200

Find the slope of f(x)= (5/x3) - 3(x2)- (1/x) at x = -1

What is -8?

200

The year Mr Gill came to Bathurst High

What is 2023

300

Find the derivative of: y= 

(1 - cos x)/ sinx

What is: y'= csc2x - cscx cotx.   or

(1- cosx)/ sin^2 x

300

The derivative of

s(t) = 1/(t^2 +3t-1)

What is

s'(t) = (-2t-3)/(t^2+3t-1)^2

300

Find the derivative of: y= sin x cos x

What is:  y'= cos2x - sin2x

300

Find the derivative of:  f(x)= y=sin(tan 2x)

What is :  2cos(tan 2x)(sec2(2x))

or

[2cos(tan 2x)]/(cos2(2x))

300

The reason Mr Gill became a math teacher

What is the money

400

Find the derivative of:  y= 

(x^2)/(2sqrtx + 1

What is: y' = 

(x(3sqrtx + 2))/(2sqrtx + 1)^2

400

The derivative of 

y=(2x-7)^3

What is 

y'=6(2x-7)^2

400

Find y'(2), if : y = (x - 4)(x2 + 6x -1)

What is: -5

400

Find the derivative of 

f(x) = cos^2(2x)




What is: 

-4cos(2x)sin(2x)

400

Mr Gill's number one advice for math tests

What is doing the multiple choice last

500

Find the slope of the normal to the curve

x^2 +3x-2

 at (4,7).

 f(x)= 

What is: 

-1/11

500

The derivative of

y=sin(pix)

y'=picos(pix)

500

Find the derivative of: y= x2cos x, at c = pi/6.

What is: y' = 

(pi*sqrt3)/6 - pi^2/72

500

The slope of the normal line to the curve y= (2x2) + 1 at (1,3) is

What is -1/4 ?

500

The name of Mr Gill's brother.

What is Joshua/Josh