Calculus Homework Assignment Inverse Functions and Derivatives Instructions Solve both homework questions using pen and paper on a separate sheet, showing all steps clearly with correct mathematical notation and full written explanations where needed. Use the OpenStax Calculus Volume J textbookspecifically Section 3.7 (Derivatives of Inverse Functions) and Section 3.5 (Derivatives of Trigonometric Functions)to guide your methods. For Question 1, use the Inverse Function Theorem to find the slope of the tangent line to the inverse function f* at the point (2, 1) and then write the equation of that tangent line. For Question 2, differentiate the function using proper trigonometric and chain rule techniques. This work is graded for completion, so make a reasonable and complete attempt using concepts from the lesson, clearly demonstrating how each answer is found. Grading Criteria 1, Inverse Function Theorem and Equation of Tangent Line: Graded for Completion. Student must have a reasonable attempt to complete the problem using techniques and concepts from this lesson. 2. Inverse Function Theorem and Trigonometric Functions: Graded for Completion. Student must have a reasonable attempt to complete the problem using techniques and concepts from this lesson. QUESTION 1 For the function fx) = 8/(3 + x*), a. Find the slope of the tangent line to its inverse function f+ at the point (2, 1) b. Find the equation of the tangent line to the graph of f at the point (2, 1) NOTE: The point (2, 1) is on the graph of the inverse function. QUESTION 2 Find dy/dx for the function y = cos(7x) + sin*(4x)