Filter By
Filter Reset
Semester
Class Notes (1,031,124)
CA (591,169)
UOttawa (37,108)
MAT (1,281)

Class Notes for Mathematics at University of Ottawa (page 4)

MAT 1300 Lecture Notes - Lecture 6: Product Rule
24HR
Premium

MAT1300 LECTURE 6 CHAIN RULE CONTINUATION OF LECTURE 5 f(x) = |x| what is f(0.00001) ? answer =1 DEFINITION Let f be a function the line tangent to the graph of f at (a, f(a)) is the line passing through (a, f(a)) ...

Mathematics
MAT 1300
Hung-Chang Liao
MAT 1339 Lecture Notes - Fall 2018 Lecture 5 - Power rule
24HR
Premium

MAT1339 - Lecture 5 - Limits and derivatives Infinite limits: The 4 possibilities of 1- 2- 3- + ...

Mathematics
MAT 1339
Michael Reeks
MAT 1300 Lecture 5: MAT 1300 –LECTURE 5 – RULES
24HR
Premium

6) ddx (lnx) =1x EXAMPLES Find the derivatives a) f(x) =3x +2x+3 =6x +2 b) g(x)= 3 sqrt(x) +4x 12 1 = 3x + 4x =3 (12 x12)+ 4 (1 x ) 12 2 =(32) x 4x c) h(x) = ddx (ln(x )) = ddx 2 (lnx) = 2 (ddx (lnx) = 2 . 1x PRODUCT AND ...

Mathematics
MAT 1300
Hung-Chang Liao
MAT 1339 Lecture 4: MAT1339 – Lecture 4 - Limits and Instantaneous rate of change
24HR
Premium

MAT1339 Lecture 4 Limits and Instantaneous rate of change Absolute value in limits: You need to cancel a common factor to get the limit and solve inequalities Example: Sidenote: The limit in a absolute value function exis...

Mathematics
MAT 1339
Michael Reeks
MAT 1300 Lecture 4: MAT 1300 LECTURE 4 –LIMITS and continuity
24HR
Premium

Then f(1) = 2 But when x approaches 1 the value f(x) approaches 1 If f(x) approaches the number L when x approaches C from both sides ( but not equal to C ) we write: Lim f(x) = L XC diagram by teacher...

Mathematics
MAT 1300
Hung-Chang Liao
MAT 1320 Lecture 3: Tangents, Limits and Limit Laws
24HR
Premium

Scanned with CamScanner

Mathematics
MAT 1320
Michael Newman
MAT 1300 Lecture Notes - Lecture 3: Logarithm, Asymptote
24HR
Premium

An exponential function has the form f(x)= ab (b>0)x - In both cases y=0 is a horizontal asymptote x - Domain of b is (- infinity...

Mathematics
MAT 1300
Hung-Chang Liao
MAT 1339 Lecture Notes - Lecture 3: Indeterminate Form
24HR
Premium

MAT1339 Lecture 3 Limits Slope of lines: You can use any point because these slopes are constant. Slope of secant lines or average rate of change: These slopes arent constant and rely on a,b to be determined. Slope of tang...

Mathematics
MAT 1339
Michael Reeks
MAT 1320 Lecture 2: Modifying, Composition and Exponential Functions
24HR
Premium

Scanned with CamScanner

Mathematics
MAT 1320
Michael Newman
MAT 1339 Lecture 2: MAT1339-Lecture2 Secant lines & Rate of change
24HR
Premium

MAT1339 Lecture 2 Secant lines Average rate of change Secant line: A straight line that intersects at 2 points on a function. It comes from the word secare, which means to cut. The secant of a function is equal to the ave...

Mathematics
MAT 1339
Michael Reeks
MAT 1300 Lecture Notes - Lecture 2: Asymptote, Coefficient, Graphing Calculator
24HR
Premium

QUADRATICS Standard form: 2 F(x)= ax +bx+c Graph opens up if a>0 QUADRATICS Standard form: 2 F(x)= ax +bx+c Graph opens up if a>0hence x= -2 or x=-3 QUADRATIC FO...

Mathematics
MAT 1300
Hung-Chang Liao
MAT 1300 Lecture Notes - Lecture 1: Negative Number
24HR
Premium

THIS IS A FUNCTION INPUT OUTPUT 1 1 3 4 3 9 THIS IS NOT A FUNCTION (input 3 has two different outputs) Example1 2 f(x)= x +2 ...

Mathematics
MAT 1300
Hung-Chang Liao
MAT 1300 Lecture Notes - Lecture 8: Maxima And Minima, Implicit Function
24HR
Premium

MAT1300F- Lecture #8- Derivatives Part 2 *Note: go over the exam review that is now posted on Brightspace Learning goals for this lesson: 1. Chain rule 2. Implicit differentiation 3. Maximum and Minimums 4. Short ex...

Mathematics
MAT 1300
Dongyang Kuang
MAT 1300 Lecture Notes - Lecture 7: Product Rule, Inflection, Power Rule
24HR
Premium

MAT1300F- Lecture #7- Derivatives Part 2 Learning goals for this lesson: 1. Understand the chain rule 2. Introduction to implicit differentiation Recap of derivatives F(x) original function F (x) the first deriva...

Mathematics
MAT 1300
Dongyang Kuang
MAT 1300 Lecture Notes - Lecture 1: Category 3 Cable, Cube Root, Square Root
24HR
Premium

MAT1300F-Lecture 1- Recap of Calculus The point of this course is basic calculus geared toward economic applications. Definitions 1. Function- A function is a rule for a relationship between an input, or independe...

Mathematics
MAT 1300
Dongyang Kuang

Log In


OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit