To find the derivative of the function h(x) = e^x + 8, we need to apply the power rule of differentiation.

The power rule states that the derivative of a constant times a function is simply the constant times the derivative of the function.

Step 1: Identify the functions and constants in the equation. Here, e^x is the function and 8 is the constant.

Step 2: Differentiate the function e^x. The derivative of e^x with respect to x is simply e^x.

Step 3: Differentiate the constant 8. The derivative of a constant is always 0.

Step 4: Add the derivatives from steps 2 and 3.

So, the derivative of the function h(x) = e^x + 8 is h'(x) = e^x + 0 = e^x.

Question

To find the derivative of the function h(x) = e^x + 8, we need to apply the power rule of differentiation.

The power rule states that the derivative of a constant times a function is simply the constant times the derivative of the function.

Step 1: Identify the functions and constants in the equation. Here, e^x is the function and 8 is the constant.

Step 2: Differentiate the function e^x. The derivative of e^x with respect to x is simply e^x.

Step 3: Differentiate the constant 8. The derivative of a constant is always 0.

Step 4: Add the derivatives from steps 2 and 3.

So, the derivative of the function h(x) = e^x + 8 is h'(x) = e^x + 0 = e^x.

Knowee AI · Accepted Answer

To find the derivative of the function h(x) = e^x + 8, we need to apply the power rule of differentiation.

The power rule states that the derivative of a constant times a function is simply the constant times the derivative of the function.

Step 1: Identify the functions and constants in the equation. Here, e^x is the function and 8 is the constant.

Step 2: Differentiate the function e^x. The derivative of e^x with respect to x is simply e^x.

Step 3: Differentiate the constant 8. The derivative of a constant is always 0.

Step 4: Add the derivatives from steps 2 and 3.

So, the derivative of the function h(x) = e^x + 8 is h'(x) = e^x + 0 = e^x.

Find the derivative of the function.h(x) = ex + 8h'(x) = ex