What is the derivative of y=2s2?

1 Answer
Aug 9, 2015

2(2s2)sln2

Explanation:

Perform logarithmic differentiation

Take natural logarithm of both sides

lny=ln2s2

Rewrite right hand side using properties of logarithms

lny=s2ln2

Differentiate both sides with respect to s

1ydyds=2sln2

Multiply both sides by y

dyds=2ysln2

Remember that y=2s2 Therefore

dyds=2(2s2)sln2