Lesson08_-_Basid_Differentiation_Rules_ws

Lesson08_Basid_Dif - Worksheet for Section 2.3 Basic Differentiation Rules V63.0121 Calculus I Spring 2010 1 Evaluate the derivative of each of

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Worksheet for Section 2.3 Basic Differentiation Rules V63.0121, Calculus I Spring 2010 1. Evaluate the derivative of each of the following functions. (i) y = 10 sin(x) + 6 (ii) h(x) = (2x − 3)(x + 2) (iii) y = 1 1 − x2 x (iv) y = √ 3 t2 − √ 4 t3 a (v) y = √ − x2 4 x3 (vi) y = a cos(v ) + c b +2 vv 1 (vii) x(t) = √ − x2 4 x3 1 2. An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the band is pulled downward and released, the mass oscillates vertically. The equation of motion is s = 2 cos t + 3 sin t, where s is measured in centimeters and t ≥ 0 is measured in seconds. We will take the positive direction to be downward. (a) Find the velocity and acceleration of the mass at time t. (b) Graph the velocity and acceleration functions. A graphing calculator may be helpful here. (c) When does the mass pass through the equilibrium position the first time? (d) How far from its equilibrium position can the mass travel? (e) When is the speed of the mass the greatest? When is the mass speeding up? 2 ...
View Full Document

This note was uploaded on 07/19/2010 for the course MATHEMATIC V63.0121 taught by Professor Leingang during the Spring '09 term at NYU.

Page1 / 2

Lesson08_Basid_Dif - Worksheet for Section 2.3 Basic Differentiation Rules V63.0121 Calculus I Spring 2010 1 Evaluate the derivative of each of

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online