What is the answer of the formula below:
if h(θ) = θ sin θ, find h'(θ) and h''(θ).

We have:

and

We are given a function H(θ) by:

Now, we are asked to find the first and second derivative of the function H(θ)

Now,

Also, the second derivative is  calculate by:

In this problem, we will solve the derivatives of products of two functions. The formula used is the product rules as follows:

or in differentials notation:

Given:

Questions:

The Process:

Step-1: determine the first derivative

Remember the following because we will use it:

Thus, we get the first derivative

Step-2: determine the second derivative

From the first derivative we specify the second derivative.

Let's solve for the second derivative of H.

Thus we get the second derivative

Keywords: the answer, the formula, the product rule, first, the second derivative, differential notation

3rd box is the answer

step-by-step explanation:

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step-by-step explanation: