(f(x))(g(x))=(f(x))(g'(x))+(f'(x))(g(x))
1- Find the derivatives
(f(x))
(g(x))
2
(5x +3)(3x+7x3 )=
(f'(x))=
1- Find the derivatives
(g'(x))=
(g'(x))= 3+21x 2
2- Plug in
2
(f(x))(g'(x))+(f'(x))(g(x))
Repeat
(f(x))
(g(x))
(f'(x))= 10x
=
Derivative
Repeat
+ Derivative
Repeat
(g(x))(f'(x))-(g'(x))(f(x))
2
(g(x))
1- Find the derivatives
=2
(3x+2x )
+ Derivative
(g(x))(f'(x))-(g'(x))(f(x))
2
(g(x))
(f'(x))=
2- Plug in
Derivative
+
Repeat
(g(x))(f'(x))-(g'(x))(f(x))
2
(g(x))
Repeat
2
Derivative -
n-1
(f(x))= n (f(x)) (f '(x))
1- (top)
2- (top) (repeat)
n-1
3- (top) (repeat)
n-1
4- (top) (repeat) (derivative)
f(x)
f(x)
(n) = (n) (f '(x))
1- (repeat)
2- (repeat) (derivative of the top)
log (f(x))= (f' (x))
(f)(x))
1- (derivative)
2-(derivative)
(repeat)
Derivative
Repeat
(3x+2x )(8)-(3+4x)(8x+7)
2
(3x+2x)
2
Repeat
n
Repeat
(g'(x))=
2- Plug in
Derivative
(8x +7)
Derivative
1- Find the derivatives
(f'(x))=
(g'(x))=
Repeat
3
(5x +3)(3+21x )+(10x)(3x+7x )
Repeat
2