Question

Find the second derivative for y = sin(x) + e^(5x).

Answer 1

To find the second derivative of y = sin(x) + e^(5x), we first need to find the first derivative and then differentiate it again. The first derivative of y is given by: y' = cos(x) + 5e^(5x). Now, we can find the second derivative by differentiating the first derivative: y'' = -sin(x) + 25e^(5x).

Step-by-step explanation:

To find the second derivative of y = sin(x) + e^(5x), we first need to find the first derivative and then differentiate it again. The first derivative of y is given by:

y' = cos(x) + 5e^(5x)

Now, we can find the second derivative by differentiating the first derivative:

y'' = -sin(x) + 25e^(5x)