Off the top of my head, doesn't the 'definition of derivatives' refer to First Principles i.e.
limit as h->0 for (f(x-h) - f(x)) / h
That doesn't assume any properties of derivatives, just the raw idea.
Can somebody help me applying the definition of derivatives to solve this?
1. Find the slope of the curve y = sqroot(x) when x=1
2. Find the equation of the tangent line to the curve at the given point:
y = 5/(1-3x) (2, -1)
Please remember we do not know any property of derivatives only use the definition.