Find dy for the given values of x and Delta x .

Question

y=Sqrt[2x+5] x=1; delta X=0.13

What is the derivative of y=Sqrt[2x+5]?

Answer 1

Erica,

some textbooks (this is controversial) define dx = delta x,

and dy = f'(x) * dx which is dy = f'(x) * delta x

In this example, you need the chain rule to find f'(x)

f(x) = (2x + 5)^1/2

Hope this helps--Andrew F.