Differentiation Flashcards
1
Q
Differentiate e^x
A
Remains the same
e^x
2
Q
Differentiate
lnx
A
1/x
3
Q
How to tell concave and convex functions?
A
When d2y/dx2 <= 0 is concave (∩)(maximum point)
When d2y/dx2 >= 0 is convex (U)(minimum point)
4
Q
How to find points of inflection?
A
d2y/dx2 = 0
5
Q
What is the derivative of a^x (when a is an integer)
A
lna (a^x)
6
Q
Proving differentiation
A
f’(x)= f(x+h)-f(x) / h
7
Q
What is the integral of a^x when a is an integer.
A
a^x
—— + c
lna
