Chain rule
Product rule
Quotient rule
Higher derivatives
Differentiate me!
100

y=(2x+1)2

y'=4(2x+1)

100

f(x)= x(x+1)3

Find f'(x) (fully factorise me!)

f'(x)=(x+1)2(4x+1)

100

Differentiate

y=x/(x+1)

1/(x+1)2

100

Find the third derivative of x3-x2+x-1

6

100

Differentiate 4x2+(4/x2)

8x-8/x3

200

Find y'(3) when y=10(x2-3)6

2799360

200

f(x)=(x-2)3(x+1)5

f'(x)=?

f'(x)=2(x-2)2(x+1)5+5(x-2)3(x+1)4

200

Find f''(x) when f(x)=x/(x+1)

-2/(x+1)3

200

Find the fourth derivative of 2x3+x

0

200

Find the values of x for which y''=0 given that,

y=x4-6x2+11

x=1,-1

300

Find f'(x) when f(x)=(1-4x)2

-8(1-4x)

or 32x-8

300

f(x)= x1/2(x+3)2

Find f'(4).

f'(4)=129/4   or    32.25

300

Find the stationary point for y=12/(2x+5)2

Tricked ya! No stat points here

300

Find the fourth derivative of:

y=1/x

24/x5

300

Differentiate y=2xe-x

2e-x-2xe-x

 

400

f(x)= 1/(x+2)

f'(x)= -1/(x+2)2

400

f(x)=3x2(2x3-3x2)

f'(x)=6x(2x3-3x2) + 3x2(6x2-6x)

400

Differentiate (x2+1)/ex

−(x2−2x+1)e−x

400

Find the fourth derivative of x1/3

-80x-11/3 /81

400

Find where f''(x)=0

y=x4+4x3+6x2+3x+2

(-1,2)

500

Find f'(-1) when f(x)=1/(4-3x)2

6/343

500

Find the second derivative: 

y=4x3(x5+2x2)

y'=12x2(x5+2x2)+4x3(5x4+4x)

500

Differentiate: (x-1)2/(2x+5)

(2x+5)(x-1)(3-x)/(2x+5)2

500

Find the 6th derivative of x10

151200x4

500

Who is an amazing Calculus teacher?

Who is Mr Moir?

M
e
n
u