differentiation Flashcards
1
Q
when doing small angle approximations for sin in radians what does sin(x)=?
A
x
2
Q
when doing small angle approximations for cos in radians what does cos(x)=?
A
1-0.5x^2
3
Q
what is the derivative of sin(kx)?
A
kcos(kx)
4
Q
what is the derivative of cos(kx)?
A
-ksin(kx)
5
Q
what is the derivative of e^kx?
A
ke^kx
6
Q
what is the derivative of ln(x)
A
1/x
7
Q
what is the derivative of a^kx when a>0 and k is a real constant?
A
a^kx kln(a)
8
Q
f(x) is concave if…
A
the second derivative is smaller than or equal to 0
9
Q
f(x) is convex if…
A
the second derivative is bigger than or equal to 0
10
Q
what is an equation that involves a rate of change called?
A
a differential equation
