INVERSE TRIG FUNCTIONS
COMBINED FUNCTIONS
PARTIAL DERIVATES
100
This is the general formula for differentiating d/dx (arctanx).
What is 1/(1+x)2 ?
100
The name of the following. 
What is the sum and difference rule for Differentiation?
100
∂f/∂x denotes:
What is the first partial derivative of a function f(x,y) with respect to x?
200
Differentiate y=sin−1(2x4).
What is (8x3)/ (1−4x8)1/2 ?
200
TRUE/FALSE
f(x)=ln(x)/(2x+7).
f'(x)=[2x+7−2xln(x)]/(2x+7)2
What is FALSE?
f'(x)=[2x+7−2xln(x)]/x(2x+7)2
200
This is the partial derivative with respect to y of f(x,y)=sin(xy)+3xy.
What is xcos(xy)+3x?
300
Differentiate tan−1(e3x).
What is (3e3x)/(1+e6x) ?
300
Differentiate h(x).
h(x)= (ax+b)/(cx+d)
What is (ad-bc)/(cx+d)2 ?
300
Given the two-variable function f(x,y)=x2−xy+y5.
Calculate fx(2,1) and interpret your result.
What is fx(2,1)=3 which means that f is increasing at a rate of 3 in the x-direction at the point (2,1)?
NB: fx(x,y)= 2x-y