Combine and .

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

To apply the Chain Rule, set as .

Differentiate using the Exponential Rule which states that is where =.

Replace all occurrences of with .

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

Simplify terms.

Combine and .

Combine and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Differentiate using the Power Rule which states that is where .

Multiply by .

Find the Derivative f(t)=10e^(1/2t)