# How do you find the derivative of the function #g(t)=(4t)/(t+1)#?

##### 1 Answer

Nov 9, 2016

#### Explanation:

Use the quotient rule. The quotient rule states that the quotient of two functions, such as some function

So, applying this to the function at hand, we see that:

#g(t)=(4t)/(t+1)#

#g'(t)=((d/dt4t)*(t+1)-4t(d/dt(t+1)))/(t+1)^2#

#color(white)(g'(t))=(4(t+1)-4t(1))/(t+1)^2#

#color(white)(g'(t))=4/(t+1)^2#