CALCULUS 1 HOMEWORK - SECTION 181 GRADING RUBRIC Question 1 Requirements: 1. Used Calculus concepts to find the slope and point correctly 2. Wrote the equation of tangent line in y=mx+b form Must show substitution and algebra to find the equation to earn full credit. 3. Sketched graph of function and tangent line. Labeled the point where the line is tangent to the function with an ordered pair. Draw asymptotes as dashed lines Question 2 Requirements: 2. Found first derivative of function correctly. Show all algebra and derivative rules applied. 3. Found second derivative of function correctly. Show all algebra and derivative rules applied correctly. Cannot earn points if first derivative is incorrect. EXPERT INSTRUCTIONS USE PEN AND PAPER FOR SOLVING USE PEN AND PAPER FOR SOLVING FOLLOW ALL RUBRIC REQUIREMENTS Reference: OpenStax Calculus Volume 1 | Show ALL steps with written explanations QUESTION 1 Find the equation of the tangent line to the function f(x) = csc{x) at x = Tr/4. Use a calculator to graph at least one period of the function and the tangent line on the same set of axes to ensure the equation for the tangent line is correct, and include a properly labeled sketch of this graph. Draw the asymptotes as dashed lines. QUESTION 2 Find d*y/dx* of y = 4cos(x) + x?sin(x)