Question

Differentiate the function h(t) = 4t - 4et?

Answer 1

To differentiate the function h(t) = 4t - 4et, apply the power rule and the chain rule.

Step-by-step explanation:

To differentiate the function h(t) = 4t - 4et, we can apply the power rule and the chain rule.

1. Apply the power rule to differentiate the term 4t. The derivative of 4t is 4.
2. Apply the chain rule to differentiate the term -4et. The derivative of -4e^t is -4e^t multiplied by the derivative of t, which is 1.
3. Add the derivatives of the two terms to get the final result: 4 - 4e^t.

So, the derivative of h(t) is 4 - 4e^t.