Copyright

if h and k are functions of x, then what is the derivative of h/k

Question:

If h and k are functions of x, then what is the derivative of {eq}\frac{h}{k} {/eq}

Quotient Rule:

If the function {eq}g(x) {/eq} equals the ratio {eq}\displaystyle \frac {u(x)}{v(x)} {/eq} of two functions {eq}u {/eq} and {eq}v {/eq} of {eq}x {/eq}, the first derivative of {eq}g(x) {/eq} with respect to {eq}x {/eq} can be obtained using the quotient rule of differentiation:

{eq}\displaystyle \left(\frac {u}{v}\right)^{'}=\frac {vu^{'}-vu^{'}}{v^2} {/eq}

Answer and Explanation:

Since {eq}h {/eq} and {eq}k {/eq} are functions of the variable {eq}x {/eq}, per the quotient rule of differentiation, the derivative of the...

See full answer below.

Become a Study.com member to unlock this answer! Create your account

View this answer

Learn more about this topic:

Loading...
Quotient Rule: Formula & Examples

from Division: Help & Review

Chapter 1 / Lesson 5
151K

Related to this Question

Explore our homework questions and answers library