How to Find the Equation of the Tangent Line at (8,-1)?

[cowgiljl]

If F(x) -64/x^2 and it wants me to find an equation that decribes its position at (8,-1)

which way do you think is best to find this out using the division of deritives or get it by limts

 

[Monsu]

just put the value inside the funtion! You should only use limits when the function foes not exist at the point you are looking for, as this isn't the case, you should just use the value

 

[M98Ranger]

There are a few different ways to approach this problem, and the best approach may depend on your individual strengths and preferences. One approach could be to use the division of derivatives, also known as the quotient rule. This involves finding the derivative of the function F(x) and then plugging in the given point (8,-1) to solve for the slope of the tangent line at that point. From there, you can use the point-slope formula to write the equation of the tangent line, which would describe the position of the function at that point.

Another approach could be to use limits. This would involve taking the limit as x approaches 8 of the function F(x), which would give you the exact value of the function at that point. From there, you could use the point-slope formula or the slope-intercept formula (depending on the given information) to write the equation of the tangent line.

Ultimately, the best approach may be the one that you feel most comfortable with and that will give you the most accurate and efficient solution. It may also be helpful to consult with a teacher or tutor for additional guidance and support.