# How would I find the slope of the graph for this problem? g(x)=(4)/(x-6) at the point (7,4).

##### 2 Answers

Jan 15, 2018

derivative

#### Explanation:

for any curve slope of tangent is its derivative value at a particular point :)

so

now place x=7 ( as the derivative is dependent only upon

we get derivative value = -4

hence slope of the tangent is -4 at the point (7,4)

Hope u find it helpful :)

Jan 15, 2018

#### Explanation:

#â€¢color(white)(x)m_(color(red)"tangent")=g'(x)" at x = 7"#

#g(x)=4/(x-6)=4(x-6)^(-1)#

#rArrg'(x)=-4(x-6)^-2=-4/(x-6)^2#

#rArrg'(7)=-4/1^2=-4#