Purchase Solution

derivative

Not what you're looking for?

Ask Custom Question

I am not sure how to set up this problem, I think that I have to use the exponential rule, but after that I am lost.

(See attached file for full problem description with complete equations)

---
The quantity q, of a certain skateboard sold depends on the selling price, p, in dollars, so, we write q = f(p). You are given that f(140) =15,000 and f' (140) = -100.
a) Total revenue, R, earned by the sales of skateboards is given by R = pq. Find

b) What is the sign of ?
If skateboards are currently selling for $140 what happens to the revenue if the price is increases to $141?
---

Attachments
Purchase this Solution
Solution Summary

This solution is comprised of a detailed explanation to answer if skateboards are currently selling for $140 what happens to the revenue if the price is increases to $141.

Solution Preview

a) Since q = f(p) and R = p*q
then R = p*f(p)
by chain rule,
dR/dp = p*f'(p) + ...

Purchase this Solution
Free BrainMass Quizzes
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.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

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

Multiplying Complex Numbers

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

View More Free Quizzes
Related BrainMass Solutions

  • Definition of the Derivative & Questions

    The derivative of the derivative of is denoted by: or sometimes by . 1. Use the definition of derivative to calculate where . 2. Use the definition of derivative to calculate where . 3.

  • Limit definition of derivative

    4219 Find the derivative of a quadratic polynomial. Use the (limit) definition of the derivative to find the derivative of f(x)=3x^2-2x+1?

  • Find the Hessian

    In doing partial derivative (use chain rule) (product rule) (first derivative w.r.t x, second derivative w.r.t. y) (first derivative w.r.t x, second derivative w.r.t. z) So we have completed the first row of the Hessian.

  • Derivative of a Vector-Valued Function

    This is a vector which has three components, so if you want to get derivative, you need to find the derivative for each component and get a derivative for the vector. We can do it as follows.

  • Basic Differenitation Formulas

    (d) Use the definition of the derivative to write out the derivative of h(x) where h(x)=f(x) + g(x). Can you rearrange the terms to write this in terms of the derivative of f(x) and g(x)?

  • Derivative of the Function and Definite Integral

    Find the derivative of the function The derivative formula for is . Here, and . Putting these into the derivative formula gives . 25.

  • What is a derivative security? And, why is it important?

    454100 What is a Derivative Security? What is a derivative security? And, why is it important? What is a derivative security? And, why is it important? A derivative security is a type of financial asset in one of several forms.

  • Differentiation: Finding the Derivative

    got the derivative above.

  • function where the derivative does not exist in at least one point

    In words, explain why the derivative does not exist here. a) Give an example of a function where the derivative does not exist in at least one point. Take a function y=|x|.

  • Definition of the Derivative

    405202 Definition of the Derivative The derivative of a continuous function at x is the slope of the tangent line to the curve at x.

View More Related Solutions