Use to rewrite as .

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

Rewrite as .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Combine and .

Move the negative in front of the fraction.

Differentiate using the Power Rule which states that is where .

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

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Combine and .

Multiply by .

Combine and .

Move to the denominator using the negative exponent rule .

Move the negative in front of the fraction.

Find the Derivative g(t)=7/( square root of t)