📐 Calculus: Derivative Rules
25 Formulas Differentiation rules
d/dx [c], where c is a d/dx [x]
constant
1
0
d/dx [cx], where c is a d/dx [x^n]
constant
n·x^(n-1)
c
d/dx [cx^n], where c is a d/dx [f(x)·g(x)] (product
constant rule for f and g)
c·n·x^(n-1) f(x)g'(x) + g(x)f'(x)
d/dx [g(x)·h(x)] (product d/dx [f(x)/g(x)]
rule for g and h) (quotient rule for f over
g)
g'(x)h(x) + h'(x)g(x)
[f'(x)g(x) - g'(x)f(x)]
/ [g(x)]²
25 Formulas Differentiation rules
d/dx [c], where c is a d/dx [x]
constant
1
0
d/dx [cx], where c is a d/dx [x^n]
constant
n·x^(n-1)
c
d/dx [cx^n], where c is a d/dx [f(x)·g(x)] (product
constant rule for f and g)
c·n·x^(n-1) f(x)g'(x) + g(x)f'(x)
d/dx [g(x)·h(x)] (product d/dx [f(x)/g(x)]
rule for g and h) (quotient rule for f over
g)
g'(x)h(x) + h'(x)g(x)
[f'(x)g(x) - g'(x)f(x)]
/ [g(x)]²
