1) Differentiate two ways: first by using the Product Rule, then by multiplying the expressions before differentiating. Compare the results as a check.

g(x)=(4x3)(2x2+3x+5)

2) Differentiate two ways: first by using the Quotient Rule, then by dividing the expressions before differentiating. Compare the results as a check.

y=t+4t216

3) Differentiate the function

f(x)=x1+1x