Questions: Differentiate the function y=e^(0.8 t). dy/dt=

Differentiate the function y=e^(0.8 t).

dy/dt=
Transcript text: Differentiate the function $y=e^{0.8 t}$. \[ \frac{d y}{d t}= \]
failed

Solution

failed
failed

Solution Steps

Step 1: Define the Function

We start with the function given by y=e0.8t. y = e^{0.8t}.

Step 2: Differentiate the Function

To find the derivative of yy with respect to tt, we apply the rule for differentiating exponential functions. The derivative of eaxe^{ax} is aeaxae^{ax}, where aa is a constant. Here, a=0.8a = 0.8. Thus, we have: dydt=0.8e0.8t. \frac{dy}{dt} = 0.8 e^{0.8t}.

Final Answer

The derivative of the function is dydt=0.8e0.8t. \boxed{\frac{dy}{dt} = 0.8 e^{0.8t}}.

Was this solution helpful?
failed
Unhelpful
failed
Helpful