Differentiation ;) Flashcards
1
Q
y = x^n
A
dy/dx = nx^n-1
2
Q
y = [f(x)]^n
A
dy/dx = n [f(x)]^n-1 x f’(x)
3
Q
y = sinx
A
dy/dx = cos x
4
Q
y = sin(f(x))
A
dy/dx = cos(f(x)) x f’(x)
5
Q
y = cos x
A
dy/dx = - sinx
6
Q
y = - sinx
A
dy/dx = - cos x
7
Q
y = - cosx
A
dy/dx = sinx
8
Q
y = tanx
A
dy/dx = sec^2x
9
Q
y = tan(f(x))
A
dy/dx = sec^2(f(x)) x f’(x)
10
Q
y = sec(f(x))
A
dy/dx = sec(f(x)) tan (f(x)) x f’(x)
11
Q
y = cot(f(x))
A
dy/dx = -cosec^2(f(x)) x f’(x)
12
Q
y = cosec(f(x))
A
dy/dx = -cosec(f(x)) cot(f(x)) x f’(x)
13
Q
y = e^x
A
dy/dx = e^x
14
Q
y= e^f(x)
A
dy/dx = e^f(x) x f’(x)
15
Q
y = a^x
A
dy/dx = a^x x ln(a)
16
Q
y = a^f(x)
A
dy/dx = a^f(x) x ln(a) x f’(x)
17
Q
y = ln(x)
A
dy/dx = 1 / x
18
Q
y = ln(f(x))
A
dy/dx = f’(x) / f(x)
19
Q
PRODUCT RULE
A
dy/dx = uv’ + vu’
20
Q
QUOTIENT RULE
A
dy/dx = (vu’ - uv’) / v^2
21
Q
A
