Rewrite as .

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

To apply the Chain Rule, set as .

Differentiate using the Power Rule which states that is where .

Replace all occurrences of with .

To write as a fraction with a common denominator, multiply by .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Combine and .

Move to the denominator using the negative exponent rule .

Multiply and .

Move .

Use the power rule to combine exponents.

Combine the numerators over the common denominator.

Add and .

Divide by .

Simplify .

By the Sum Rule, the derivative of with respect to is .

Since is constant with respect to , the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Multiply by .

Since is constant with respect to , the derivative of with respect to is .

Add and .

Combine and .

Combine and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Cancel the common factor.

Rewrite the expression.

Find the Derivative f(t) = natural log of square root of 3t^2+1