MATH260 Quiz Week 5V1 Name: _________________________ Trigonometric and Inverse Trigonometric Derivatives 1) Find y': y = sin2(8x) a) y' = 8 cos2(8x) b) y' = 64 sin(8x) cos(8x) c) y' = 16 sin(8x) cos(8x) d) y' = 2 sin(8x) 2) Find the derivative: y = 2x2 tan(5x + 1) 3) Find y' for y csc 2t t2 4) Find f '(x) for y = 2 sin-1(3x) a) y' 6 1 9x 2 b) y' c) y' d) 18x 1 9x 2 6 1 9x 2 y ' 3 sin2 (3x) 5) Find f '(x) , f ''(x), and f ''(2) for f(x) = tan-1(2x) 6) The voltage in a certain circuit is given by V = cos(224t) sin(244t), t in milliseconds, and V in volts. How fast is the voltage changing at t = 4 ms? Use degree mode; 4 decimal places. MATH260 Quiz Week 5V1 Name: __Chad Carpenter_______________ Trigonometric and Inverse Trigonometric Derivatives 1) Find y': y = sin2(8x) a) y' = 8 cos2(8x) b) y' = 64 sin(8x) cos(8x) c) y' = 16 sin(8x) cos(8x) d) y' = 2 sin(8x) 2) Find the derivative: y = 2x2 tan(5x + 1) 3) Find y' for y csc 2t t2 4) Find f '(x) for y = 2 sin-1(3x) a) y' b) y' 6 1 9x 2 18x 1 9x 2 c) y' d) 6 1 9x 2 y ' 3 sin2 (3x) 5) Find f '(x) , f ''(x), and f ''(2) for f(x) = tan-1(2x) f'(x)= f''(x)= f'''(x)= 6) The voltage in a certain circuit is given by V = cos(224t) sin(244t), t in milliseconds, and V in volts. How fast is the voltage changing at t = 4 ms? Use degree mode; 4 decimal places. V= 0.9679 Voltage change MATH260 Quiz Week 5V1 Name: __Chad Carpenter_______________ Trigonometric and Inverse Trigonometric Derivatives 1) Find y': y = sin2(8x) a) y' = 8 cos2(8x) b) y' = 64 sin(8x) cos(8x) c) y' = 16 sin(8x) cos(8x) d) y' = 2 sin(8x) 2) Find the derivative: y = 2x2 tan(5x + 1) 3) Find y' for y csc 2t t2 4) Find f '(x) for y = 2 sin-1(3x) a) y' b) y' 6 1 9x 2 18x 1 9x 2 c) y' d) 6 1 9x 2 y ' 3 sin2 (3x) 5) Find f '(x) , f ''(x), and f ''(2) for f(x) = tan-1(2x) f'(x)= f''(x)= f'''(x)= 6) The voltage in a certain circuit is given by V = cos(224t) sin(244t), t in milliseconds, and V in volts. How fast is the voltage changing at t = 4 ms? Use degree mode; 4 decimal places. V= 0.9679 Voltage change