Purchase Solution

# Derivatives and Slopes of Tangents

Not what you're looking for?

1. Determine dy for each of the following relations.
dx

a) 9x2-16y2=1

b) y3+5xy+x3=1

2. Determine the slope of the curve 8x3+3xy+8y3=19 at the point (1,1).

3. Determine the equation of the tangent to the given curve at the given point.

x2-y2-x=1 at (2,1)

4. Determine the equation(s) of the tangent(s) to xy+y=8 having slope -1/2.

See attached file for full problem description.

##### Solution Summary

Derivatives and Slopes of Tangents are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.