Question
Suppose $W$ is proportional to $r^{3} .$ The derivative $d W / d r$ is proportional to what power of $r ?$
Step 1
We are told that \( W \) is proportional to \( r^3 \). This can be expressed mathematically as: \[ W = k \cdot r^3 \] where \( k \) is a constant of proportionality. Show more…
Show all steps
Your feedback will help us improve your experience
Yaw Asomani and 84 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Calculate the derivative indicated. $$ \left.\frac{d R}{d W}\right|_{W=1}, \quad R=W^{\pi} $$
DIFFERENTIATION
The Derivative as a Function
Compute the derivative. $$\mathrm{r}(s)=\left\langle e^{3 s}, e^{-s}\right\rangle$$
PARAMETRIC EQUATIONS, POLAR COORDINATES, AND VECTOR FUNCTIONS
Calculus of Vector-Valued Functions Preparing for the AP Exam
Write an equation that expresses the statement. $R$ is proportional to $i$ and inversely proportional to $P$ and $t$
Coordinates and Graph
Making Models Using Variations
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD