Find the equation of the tangent line of the graph f(x)=1/x^5
at: (1,1)

Question

Find the equation of the tangent line of the graph f(x)=1/x^5
at: (1,1)

lukecrayonz · Answer

Derivative is -5/x^6

anonymous · Answer

Take the first derivative to fine the slope at that point. once you have the slope you can find the y-intercept by using y=mx+b where m is the slope that you obtained from the second derivative.

anonymous · Answer

I'm sorry first derivative which is the one you provided there.

lukecrayonz · Answer

@perdomo.arturo so now I input (1,1) for y and x and solve for the slope? or.. :O

anonymous · Answer

yeah use that point to find the slope. dy/dx is equal to m or the slope.

anonymous · Answer

Really you just need the x value for the slope, but you'll need both to find the y-intercept of the line using the equation I provided there.

lukecrayonz · Answer

So then 1=-5/1^6?

lukecrayonz · Answer

No no wait lol

lukecrayonz · Answer

y=-5/x^6+b

b=6

anonymous · Answer

almost right. y=-5x+6. Remeber that a tangent line is just a straight line.