Derivative Practice: Trig, Inverse Trig, Exponentials, & Logs

[Pages:1]Derivative Practice: Trig, Inverse Trig, Exponentials, & Logs

104003 Differential and Integral Calculus I Technion International School of Engineering 2010-11 Tutorial Handout ? January 30, 2011 ? Kayla Jacobs

1. Find the derivatives of the following functions: a) y = sin(x) ? 4 cos(5 x)

b) y = x3 tan(x)

c) y = sin2x / cos2 x ... but DON'T use chain rule

d) y = x2 arcsin(3x)

e) y = 1 + arctan(x) 2 ? 3 arctan(x)

f) y = cos3 (arctan(3x))

g) y =

h) y = _ 2x 2x ? 3x

i) y = 2cot(x)

2. Calculate:

lim

sin

3

sin3

3. Find equation of line tangent to y = x2 + sin(x/2) at x = -1.

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