To derive, use the power rule for derivatives.

Find the first derivative by taking the derivative of each term.

Take the derivative of .

To solve, simply differentiate twice use the power rule, as outlined below.

Power rule:

Also, remember the derivative of a constant is 0.

Thus,

To take the derivative of a function, we'll need to apply the power rule to a term with a coefficient and an exponent :

Applying this rule to each term in the function, we start by taking the first derivative:

Taking the second derivative:

To take the derivative of a function, we'll need to apply the power rule to a term with a coefficient and an exponent :

Applying this rule to each term in the function, we start by taking the first derivative:

Finally, we take the second derivative:

Use the product rule to get the first derivative.

Let and

Use the product rule again for the second derivative.

To take the derivative of a function, we'll need to apply the power rule to a term with a coefficient and an exponent :

Applying this rule to each term in the function, we start by taking the first derivative:

Then, taking the second derivative of the function:

For this problem we will need to use the power rule on each term.

The power rule is,

Applying the power rule to our function we get the following derivative.

Use Power Rule to take two derivatives of :

First Derivative:

So result is:

Now we take another derivative:

Second Derivative:

So our result is:

We first need to find the first derivative of . Remember that according to the derivatives of trigonometric functions, the derviative of cosine is negative sine and the derivative of sine is cosine.

Applying these rules we are able to find the first derivative.

Now to find the second derivative we take the derivative of the first derivative.

To find the second derivative, simply take the dervative twice according to the rules of derivatives.