Question

Give the geometric and physical meaning of dy/dx

Answer 1

Answer:

The derivative of a function at a given point is the slope of the tangent of that particular function at that given point. 

For example,

y = sin(x)

(dy/dx) at (x = pi/4) = 1/root(2)

So, the slope of tangent of sin(x) at (pi/4, 1/root(2)) is 1/root(2).  

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