Differentiate
1.
y = sin ¹
2.
y = x
3.
4. 
__
5.
y = cot6 ù
6.
y = ¹ tan20 4x
7.
y = csc 5x cos2 3x
8.
9. Find y'(x) = dy/dx for
x2y3 + x = y2
10. Find the equation of the line
tangent to
f(x) = x3 - 3x2 + 4
at the point (1,2)
Find all max and min and sketch the
function.
11.
g(x) = x2 - 6x
for -1 ² x ² 4
12. y = 4x3 + 9x2 -
12x, -2 ² x < 1
13. Draw me a function whose derivitives are :
a.
increasing
b.
decreasing
Sketch Graph without calculus:
14. y = (x + 2)2(x - 3)3(x - 1)2
15.
Find max's, min's, inflection points
and sketch accurate graph of the functions, tell whether each max or min is
relative or absolute.
16. y = - x3 + 6x2 -24
17.
Write the equation for:
18.
19.
