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

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

Solution

Solution Steps

Step 1: Define the Function

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

Step 2: Differentiate the Function

To find the derivative of $y$ with respect to $t$ , we apply the rule for differentiating exponential functions. The derivative of $e^{ax}$ is $ae^{ax}$ , where $a$ is a constant. Here, $a = 0.8$ . Thus, we have: $\frac{dy}{dt} = 0.8 e^{0.8t}.$

Final Answer

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

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >