7c Find y given dy/dx Integration Mini Video Lecture This is a common integral calculus question, where we are given an expression for dy/dx and x and yvalues, and we need to find ans expression for yThis preview shows page 34 38 out of 58 pages d dx cot − 1 x = − 1 1 x 2 V Let y = sec − 1 x ⇒ sec y = xDifferentiating both sides with respect to x yields sec y tan y dy dx = 1 ⇒ dy dx = 1 sec y tan y = 1 sec y (√ sec 2 y − 1) = 1 x √ x 2 − 1 Therefore, d dx sec − 1 x = 1 x √ x 2 − 1 VI Let y = cosec − 1 x ⇒ cosec y = xDifferentiating both sides withNo solution to this, as it is not an equation So, as such, it cannot be "solved" for either x or y
Ex 5 3 15 Find Dy Dx In Y Sec 1 1 2x2 1 Chapter 5
