Calculus Exponential Derivatives Examples Solutions Videos
22/1/ Differentiate y=e^x cos〖x^2 〗 Pinoybixorg is an engineering education website maintained and designed toward helping engineering students achieved their ultimate goal to become a fullpledged engineers very soonY = e x log x Use product rule dy/dx = e x log x e x (1/x) = e x (log x 1/x) Hence option (2) is the answer Was this answer helpful?
Explanation We can use here the formula for derivative of sin−1x, which is d dx sin−1x = 1 √1 − x2 As such to find derivative dy dx for y = sin−12x using chain rule is given by dy dx = 1 √1 − (2x)2 × d dx (2x) = 2 √1 −4x2 Answer link Explanation siny = x2 cosy( dy dx) = 2x dy dx = 2x cosy dy dx = 2x √1 − sin2y dy dx = 2x √1 − (x2)2 dy dx = 2x √1 −x4 Hopefully this helps!Simplify where possibley = sin−1(2x 1) This problem has been solved!
Untitled Document
