lab3_f11 - Math 116 Lab 3 Fall 2011 Rules for...

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: Math 116 - Lab 3 - Fall 2011. Rules for differentiation, chain rule, derivatives of trig, exponential, hyperbolic, inverse trig and inverse hyperbolic functions (Sections 3.3, 3.5-3.7 of L/G). You are to provide full solutions to the following problems. You are allowed to collaborate with your classmates, use your notes and textbook and ask the TA for guidance. Direct copying of solutions is not encouraged, nor is it allowed or ethical. First name: Last name: Student number: 1 Math 116 - Lab 3 - Fall 2011. Student number: Rules for differentiation, chain rule, derivatives of trig, exponential, hyperbolic, inverse trig and inverse hyperbolic functions (Sections 3.3, 3.5-3.7 of L/G). 1. Determine the equation of the tangent line to the graph of f at the specified value of x0 . Show all steps. x 1 2 a) f (x) = , x0 = 4 b) f (x) = sin(5x), x0 = 2. Show that d dt π 4 cosh(ωt) = ω sinh(ωt). Show all steps. 3. Product Rule: Use the product rule to determine a formula for f (x). Show all steps. a) f (x) = tan(2x) tan(7x). b) f (x) = x4 e5x sin(3x). 4. Quotient Rule: Use the quotient rule to determine a formula for f (x). Show all steps. a) f (x) = b) f (x) = cos(2x) . x3 −5x+2 √ x cot(x) . 5. Chain Rule: Use the chain rule as well as other techniques for differentiation to determine a formula for f (x). Show all steps. a) f (x) = tan2 (7x) − sec2 (7x). b) f (x) = cot 3−14x3 9+x4 . c) f (x) = secn (x). d) Let g (x) = sin(x), h(x) = 3x8 − 2x + 1 and define f (x) = h(g (x)). 6. Find the derivative of the following functions. Show all steps. a) f (t) = tan−1 (e−3t ). b) f (t) = cos−1 (t) . sin−1 (t) c) f (t) = ecot −1 (t) . d) f (t) = log4 (t cos(t)). e) f (t) = ln 4(2t−1)2 1−9t . 2 ...
View Full Document

This note was uploaded on 12/28/2011 for the course MATH 116 taught by Professor Robertandre during the Spring '11 term at Waterloo.

Page1 / 2

lab3_f11 - Math 116 Lab 3 Fall 2011 Rules for...

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