MATH 111 Midterm: MATH 111 NJIT M111 Exam2F16

• School: New Jersey Institute of Technology
• Department: Mathematical Sciences
• Course: MATH 111
• Professor: All

Document Summary

Extra space: use the backs of each sheet for extra space. I pledge by my honor that i have abided by the. _______________________ (signature: find the derivatives, dy/dx, of the following functions (10 points): y x ln( 2x: y = sec(x)tan(x, find the derivatives, dy/dx, of the following functions. Fully rationalize and simply answers to a single fraction. It may be helpful to simply first. (10 points) a. y. 2 y: find the derivatives, dy/dx, of the following functions and simplify (18 points): y arcsin( 2 kx where k is an unknown constant: y = [sin(3x)]x for 0 < x < /2, the picture below shows the graph of the hyperbola x2 2y2 = 1. Graph the original function and the tangent line together below. Label x and y intercepts with their coordinates. (11 points: consider the function f(x)=x2 4ax + 3a2 (where a" is an unknown constant). Find the (x,y) coordinates on f(x) where the slope is zero.