suppose that u and v are differentiable at x=5 and that u(5) =7, v(5)=2, u'(5)= -3 and v'(5)= 6. find the derivative of u/v when x=5
Added by Stephen M.
Step 1
Step 1: Identify the given values: - u(5) = 7 - v(5) = 2 - u'(5) = -3 - v'(5) = 6 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Zhumagali Shomanov and 56 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
Suppose $u$ and $v$ are functions of $x$ that are differentiable at $x=0$ and that \begin{equation} u(0)=5, \quad u^{\prime}(0)=-3, \quad v(0)=-1, \quad v^{\prime}(0)=2 \end{equation} Find the values of the following derivatives at $x=0$ \begin{equation} \text { a. }\frac{d}{d x}(u v) \quad \text { b. } \frac{d}{d x}\left(\frac{u}{v}\right) \quad \text { c. } \frac{d}{d x}\left(\frac{v}{u}\right) \quad \text { d. } \frac{d}{d x}(7 v-2 u) \end{equation}
Derivatives
Differentiation Rules
See image below
Sam S.
Suppose $u$ and $v$ are functions of $x$ that are differentiable at $x=0$ and that $$ u(0)=5, \quad u^{\prime}(0)=-3, \quad v(0)=-1, \quad v^{\prime}(0)=2 $$ Find the values of the following derivatives at $x=0$ a. $\frac{d}{d x}(u v)$ b. $\frac{d}{d x}\left(\frac{u}{v}\right)$ c. $\frac{d}{d x}\left(\frac{v}{u}\right)$ d. $\frac{d}{d x}(7 v-2 u)$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD