Product Rule
f(x) = (6x^3)(7x^4)
294x^6
What is quotient rule?
Calculus method to find derivative of any given function using division
f(x)+x^5-x^3+2x, a=2
1/4
3x^4
12x^3
Given f(x) = (3x^2 – 1)(x^2 + 5x +2), find the derivative of f(x)
12x^3+45x^2+10x-5
f(x)=x^2/(x+1)
(x^2+2x)/(x+1)^2
f(x)=x^5+2x^3+7x+1
1/7
8x^2
16x
f(x) = (3x - 2x^2)(5 + 4x).
= - 24x^2 +4x + 15
Use quotient rule to differentiate (1-2x)/x
-1/x^2
f(x)=-2/(x-1)^2
-2/x^2
2x^5
10x^4
f(x) = 2x(x^2 + 3x).
= 6x^2 + 12x
f(x)=x^3/1-x^4
3x^2+6x/(1-x^4)^2
^3radx
1/3x^2/3
5x
5
f(x) = 3(x4 - 1)( 5x^2 + 2x).
= 3(30x^5 + 10x^4 - 10x -2)
f(x)=x^2+x-2/x^3+6
-x^4-2x^3+6x^2+12x+6/(x^3+6)^2
^3radx+1
1/3^3rad(x+1)^2
5
0