Question on derivatives

[roronoazoro]

Find the tangent line

 

[Deleted member 4993]

Find the tangent line

View attachment 25999

What is the relationship between the slope of the tangent line and \(\displaystyle \frac{df(x)}{dx}\) ?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.

 

[Steven G]

You have a point of the line you want the equation for, namely (a, f(a)). Now you need another point or the slope of the line. The derivative of f(x) at x=a gives you the slope of the line. Find the slope and if you need help finding the equation of the line or in finding the slope come back, show your work and we'll help you some more.