Question

Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. $u(1) = 3$, $u'(1) = -7$, $v(1) = 7$, $v'(1) = -4$ $\frac{d}{dx}(\frac{u}{v})$ at $x = 1$ $\frac{61}{49}$ $\frac{37}{7}$ $-\frac{37}{49}$ $-\frac{37}{16}$

          Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.
$u(1) = 3$, $u'(1) = -7$, $v(1) = 7$, $v'(1) = -4$
$\frac{d}{dx}(\frac{u}{v})$ at $x = 1$
$\frac{61}{49}$
$\frac{37}{7}$
$-\frac{37}{49}$
$-\frac{37}{16}$

Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.
u(1) = 3, u'(1) = -7, v(1) = 7, v'(1) = -4
(d)/(dx)((u)/(v)) at x = 1
(61)/(49)
(37)/(7)
-(37)/(49)
-(37)/(16)

Added by Ver-Nica P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

10/29/2022

Step 1

We want to find $\frac{dy}{dx}$ at $x=1$. By the quotient rule, we have $\frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}$. Show more…

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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. $u(1) = 3$, $u'(1) = -7$, $v(1) = 7$, $v'(1) = -4$ $\frac{d}{dx} \left( \frac{u}{v} \right)$ at $x = 1$ $\frac{-61}{49}$ $\frac{-37}{7}$ $\frac{-37}{49}$ $\frac{-37}{16}$