let f(7) = 0, f'(7)= 14, g(7) = 1 and g'(7) = 1/7, find h'(7) if h(x) = f(x)/g(x)

Question

12-05-2017
Mathematics

contestada

let f(7) = 0, f'(7)= 14, g(7) = 1 and g'(7) = 1/7, find h'(7) if h(x) = f(x)/g(x)

Respuesta :

Otras preguntas

Which applies the power of a power rule properly to simplify the expression (710)5? (710)5= 710 ÷ 5 = 72 (710)5= 710 - 5 = 75 (710)5= 710 + 5 = 715 (710)5= 710

What is a hot question? And why are they all really old? Like from last year?

solve 1 over 36 = 6^x-3

One way fascist leaders in the 1920s and 1930s gained popular support was by

Describe the main ideas behind the Declaration of Independence and the U.S constitution

Form a biconditional statement using p: an angle is acute q: an angle measures between 0 and 90 degrees using “if and only if”

E.J. has shown that a function,f(x), hrows by 12% for every unit in the domain.what does this prove

Two charges, q1 and q2, are separated by a certain distance r. if the magnitudes of the charges are halved and their separation is halved, then what happens to

The latest new party formed in the united states in an election year was

___ place limitations on congress when bit comes to the rights of citizens

jdoe0001 jdoe0001 · Answer 1 · 2017-05-12T21:09:56+02:00

[tex]\bf h(x)=\cfrac{f(x)}{g(x)}\impliedby \textit{let us use the quotient rule}\\\\ -----------------------------\\\\ \cfrac{dh}{dx}=\left. \cfrac{\frac{df}{dx}g(x)-f(x)\frac{dg}{dx}}{[g(x)]^2}\right|_{x=7}\quad \begin{cases}f'(7)=14\\\\ f(7)=0\\\\ g'(7)=\frac{1}{7}\\\\ g(7)=1 \end{cases}\implies \cfrac{dh}{dx}=\cfrac{14\cdot 1-0\cdot \frac{1}{7}}{[1]^2} \\\\\\ \cfrac{dh}{dx}=\cfrac{14}{1}\implies \cfrac{dh}{dx}=14 [/tex]