2 Logarithmic Differentiation LEARNING OBJECTIVE: Compute the derivative using logarithmic differentiation Using logarithmic differentiation, find the derivative of . = - 'h + E: 3- The Inverse Trigonometric Functions LEARNING OBJECTIVE: Evaluate inverse trigonometric functions for known ratios. KOOOD Find the exact value of arcsin 1 3 2 a.) O arcsin V3 4 TU 2 3 b.) O arcsin 2 3 C.) V3 O arcsin 2 d.) arcsin V3 O 2 35 Related Rates Problems Using Geometric Formulas LEARNING OBJECTIVE: Solve related rates problems using geometric formulas. All sides of a square are increasing at a rate of4 centimeters per second. How fast is the area changing when each side is 10 centimeters? 4 Derivatives of Inverse Trigonometric Functions LEARNING OBJECTIVE: Compute derivatives of functions involving the inverse trigonometric functions Find the derivative of '. = Jieec ' '1. -. +1 I. 1- Implicit Differentiation LEARNING OBJECTIVE: Compute and apply derivatives that require implicit differentiation. KOOOD Write the equation of a line tangent to the graph 3x2 + 2y2 = 10xy + 15 at the point (1, - 1). a.) 15 O b.) v= 10 O C.) O d.) OA trough i5 12 feet iomg, and its ends are in the form of inverted isosceles ti'iangies having an altitude of 3 feet and a base of 3 feet. Water is being pumped in at a rate of ' How fast is the water level rising when the water is 1.5 feet deep? app.sophia.org