Problem 175E: For the following exercises, find dydx for the given functions. 175. y=x2secx+1 Problem 176E: For the following exercises, find dydx for the given functions. 176. y=3cscx+5x Problem 177E: For the following exercises, find dydx for the given functions. 177. y=x2cotx Problem 178E: For the following exercises, find dydx for the given functions. 178. y=xx3sinx Problem 179E: For the following exercises, find dydx for the given functions. 179. y=secxx Problem 180E: For the following exercises, find dydx for the given functions. 180. y=sinxtanx Problem 181E: For the following exercises, find dydx for the given functions. 181. y=(x+cosx)(1sinx) Problem 182E: For the following exercises, find dydx for the given functions. 182. y=tanx1secx Problem 183E: For the following exercises, find dydx for the given functions. 183. y=1cotx1+cotx Problem 184E: For the following exercises, find dydx for the given functions. 184. y=cosx(1+cscx) Problem 185E: For the following exercises, find the equation of the tangent line to each of the given functions at... Problem 186E: For the following exercises, find the equation of the tangent line to each of the given functions at... Problem 187E: For the following exercises, find the equation of the tangent line to each of the given functions at... Problem 188E: For the following exercises, find the equation of the tangent line to each of the given functions at... Problem 189E: For the following exercises, find the equation of the tangent line to each of the given functions at... Problem 190E: For the following exercises, find the equation of the tangent line to each of the given functions at... Problem 191E: For the following exercises, find d2ydx2 for the given functions. 191. y=xsinxcosx Problem 192E: For the following exercises, find d2ydx2 for the given functions. 192. y=sinxcosx Problem 193E: For the following exercises, find d2ydx2 for the given functions. 193. y=x12sinx Problem 194E: For the following exercises, find d2ydx2 for the given functions. 194. y=1x+tanx Problem 195E: For the following exercises, find d2ydx2 for the given functions. 195. y=2cscx Problem 196E: For the following exercises, find d2ydx2 for the given functions. 196. y=sec2x Problem 197E: Find all x values on the graph of f(x)=3sinxcosx where the tangent line is horizontal. Problem 198E: Find all x values on the graph of f(x)=x2cosx for 0x2 where the tangent line has slope 2. Problem 199E: Let f(x)=cotx . Determine the points on the graph of f for 0x2In where the tangent line(s) is (are)... Problem 200E: [T] A mass on a spring bounces up and down in simple harmonic motion, modeled by the function... Problem 201E: Let the position of a swinging pendulum in simple harmonic motion be given by s(t)=acost+bsint .... Problem 202E: After a diver jumps off a diving board, the edge of the board oscillates with position given by... Problem 203E: The number of hamburgers sold at a fast-food restaurant in Pasadena, California, is given by... Problem 204E: [T] The amount of rainfall per month in Phoenix, Arizona, can be approximated by y=0.5+0.3cost ,... Problem 205E: For the following exercises, use the quotient rule to derive the given equations. 205.... Problem 206E: For the following exercises, use the quotient rule to derive the given equations. 206.... Problem 207E: For the following exercises, use the quotient rule to derive the given equations. 207.... Problem 208E: Use the definition of derivative and the identity cos(x+h)=cosxcoshsinxsinh to prove that... Problem 209E: For the following exercises, find the requested higher-order derivative for the given functions.... Problem 210E: For the following exercises, find the requested higher-order derivative for the given functions.... Problem 211E: For the following exercises, find the requested higher-ordei derivative for the given functions.... Problem 212E: For the following exercises, find the requested higher-order derivative for the given functions.... Problem 213E: For the following exercises, find the requested higher-order derivative for the given functions.... format_list_bulleted