Test Chap 15 7 March 2018 Name: _______________________________________________ Find the derivative of each function (Questions 1 -7) dy or y¢ dx Don't forget to rewrite the function first (if possible) in order to make differentiation easier. Use proper notation throughout. Don’t worry if you use 1. y = 4x3 - 2x2 + 3x -1 2. y = ( 2x - 3) ( x + 4 ) 3. f (x) = 4. g( x) = -2ln ( 3x - 5 ) 5. f (x) = esin x cos2x 6. e2 x y= x 7. f (x) = ln x 2 - 3x 8. y= 9. Find the gradient of the tangent to y = e2 x +10 at x = ln 3 10. f (x) = ekx + x and f ¢ ( 0 ) = -8 Find k 2x3 - x2 + 4x - 2 x ( e2 x + 2 3e-2 x + 4 ) Show that dy 12 + 8e2 x +12e-2 x = 2 dx ( 3e-2 x + 4 ) (This is straight off a Homework Healthcheck!) (This is straight off a Homework Healthcheck!) 1 Free Plain Graph Paper from http://incompetech.com/graphpaper/plain/