This was made to help students learn how to take derivatives of sums, products, and quotients.

1. Derivatives

2. Sums F’(f(x)+ g(x))=? f’(x)+g’(x)

3. Example f(x)=2x f’(x)=2 g(x)=5x g’(x)=5

4. Power rule f’(x)^n= n(f(x)^(n-1))

5. Example F(x)=x^3 Put the 3 in front Subtract 1 from the power

6. Product Rule f(x)*g(x)=? f(x)*g’(x)+g(x)*f’(x) 1st*d(2nd)+2nd*d(1st)

7. Example Find f’(x) and g’(x) f’(x)=2 g’(x)=1 f(x)=2x g(x)= (x+3)

8. 1st*d(2nd)+2nd*d(1st)

9. Quotient Rule Hi/ho=? (ho*dhi)-(hi*dho) /(ho*ho)

10. Example (ho*dhi)-(hi*dho)/(ho*ho) f’(x)=2 g’(x)=1 f(x)=2x g(x)= (x+3)