- H'(θ) = sin θ + θ cos θ
- H''(θ) = 2cos θ - θ sin θ
<h3>
Further explanation</h3>
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:
<u>Given:</u>
<u>Questions:</u>
<u>The Process:</u>
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.
- Part-1 is
- Part-2 is
Let's solve for the second derivative of H.
Thus we get the second derivative
<h3>Learn more</h3>
- If g(x) = (x + 1)/(x - 2) and h(x) = 4 – x, what is the value of g(h(-3))? brainly.com/question/1900154
- The inverse of a function brainly.com/question/3225044
- The composite function brainly.com/question/1691598
Keywords: the answer, the formula, the product rule, first, the second derivative, differential notation